what is the surface area of a cylinder in terms of pi height 10in radius 5in

Answers

Answer 1

ANSWER

[tex]T.S.A = 150\pi[/tex] square inches.

EXPLANATION

The total surface area of a cylinder is given by;

[tex]T.S.A = 2\pi \: r(r + h)[/tex]

The height of the cylinder is , h=10in.

The radius of the cylinder is, r=5in.

We substitute the known values into the formula to obtain;

[tex]T.S.A = 2\pi \times 5(5+ 10)[/tex]

[tex]T.S.A = 10\pi(15)[/tex]

In terms of π, the total surface area is

[tex]T.S.A = 150\pi in^2[/tex]


Related Questions

3. Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year. Find when the sale of cars will be more then the sale of motorcycles.
(SHOW WORK)



In a survey in 2010, the population of two plant species were found to be growing exponentially. Their growth is given by these equations: species A, and species B, , where t = 0 in the year 2010.

Answers

Answer: 7 years

Step-by-step explanation:

year 1    5.75 (million) x 1.16 (16 percent ) = 6.67   motorcycles

year 2    6.67  x 1.16 = 7.7372

year 3     7.74 x  1.16 = 8.9784

year 4      8.98 x 1.16 = 10.4168

year 5     10.42 x  1.16 = 12.0834

year 6     12.09 x 1.16 = 14.0244

year 7    14.02 x 1.16 = 16.2632

year 1    3.5 (million) x 1.25 (25 percent) = 4.375

year 2    4.375 x 1.25 = 5.46875

year 3    5.47   x  1.25 = 6.8359

year 4     6.84   x 1.25 = 8.5449

year 5      8.55 x 1.25 = 10.6875

year 6    10.69 x 1.25 = 13.359375

year 7    13.36 x 1.25 = 16.7

ALOT OF POINTS PLEASE HELP

Answers

Answer:

i cant read it

Step-by-step explanation:

Answer:

The cone is a 1/3 of a cilinder.

hope this helped!

I need help ASAP!

If I know that sin ( θ ) = 12/13 I can use the Pythagorean theorem to find that cos ( θ ) = 5/13 . What is tan ( θ )? Enter a fraction of two integers.

Answers

sin (x) = 12/13 this is because sine is opposite divided by hypotenuse.
cos (x) = 5/13 this is because cosine is adjacent divided by hypotenuse.
tan (x) = 12/5 this is because tangent is opposite divided by adjacent.

Complete the ratio table to convert the units of measure from centimeters to inches or inches to
centimeters.
Centimeters
Inches
1
2.54
5.08
10​

Answers

Answer:

5.08 centimeters equals 2 inches

10 inches equals 25.4 centimeters

Step-by-step explanation:

we have to complete the following table.

According to the information contained in table 2.54 centimeters it is equal to 1 inch

The first information we have to complete is how many inches equals 5.08 centimeters

To solve it we apply a simple rule of three

[tex]2.54 centimeters \longrightarrow 1 inch \\5.08 centimeters \longrightarrow x[/tex]

[tex]x=\frac{(5.08)(1)}{2.54} \\x=2[/tex]

5.08 centimeters equals 2 inches

The second information that we have to complete is how many centimeters equals 10 inches

[tex]1 inch \longrightarrow 2.54 centimeters\\10 inches\longrightarrow x \\x=\frac{(10)(2.54)}{1} \\x= 25.4[/tex]

10 inches equals 25.4 centimeters

Answer:may 5cm

Step-by-step explanation:

A regular octagon has side length 10.9 in. The perimeter of the octagon is 87.2 in and the area is 573.67 in2. A second octagon has side lengths equal to 21.8 in. Find the area of the second octagon. Round to the nearest hundredth.

Answers

Answer:

2,294.66 square inches

Step-by-step explanation:

The area of an octagon is given by the formula:

A = 2 * a² * ( 1 + √2 )

So, if we input the numbers we have:

A = 2 * 21.8² * ( 1 + √2 )

A = 2 * 475.24 * (2.4142)

A = 2,294.66 square inches

As you can see, if you double the side of an octagon, its area will quadruples, which is logic since the one variable in the calculation of the area is the side's length... that is squared.  So, if you double it, that double factor is squared.

It's as if we had written  

A = 2 * (10.9 * 2)² * ( 1 + √2 )

A = 2 * (10.9² * 2²) * ( 1 + √2 )

The simplest form of 3 cube root of 162 is a3 cube root b

Answers

Answer:

[tex]3 \sqrt[3]{162} = 3 \sqrt[3]{27} \sqrt[3]{6} = 3(3 \sqrt[3]{6} ) = 9 \sqrt[3]{6} [/tex]

Final answer:

The simplest form of 3 cube root of 162 is 9 cube root 2, with a=9 and b=2 after factoring out the perfect cube within 162.

Explanation:

The student has asked about simplifying the expression 3 cube root of 162 into the form a3 cube root b. The cube root of 162 can be simplified by factoring out cubes. The number 162 is equal to 2 * 81, where 81 is a perfect cube (3³). Thus, we can rewrite 162 as 2 * 3³. When taking the cube root, the cube root of 3³ is 3, and it comes out of the cube root symbol leaving us with 2 inside the cube root. Multiplying this by 3 outside the cube root, we get:

3 * 3 cube root 2 = 9 cube root 2

Therefore, the expression in its simplest form is 9 cube root 2, which follows the format a3 cube root b with a=9 and b=2.

Anyone know how to do this?

Answers

A is the correct answer. Factor by grouping

Answer:B

Step-by-step explanation:

Is easy

Someone help please!!!

Answers

Answer:

41.5 ft

Step-by-step explanation:

From the information given, and definition of midpoint, we know that:

AB = BC = ½ AC

AC = CE = ½ AE

CD = DE = ½ CE

GF = FE = ½ GE

HG = GE = ½ HE

AI = IH = ½ AH

AJ = JI = ½ AI

We also know:

AH = 20

HE = 14

GD = 4

Therefore:

AI = IH = 10

HG = GE = 7

AJ = JI = 5

GF = FE = 7/2

Next, since JB and IC are parallel with HE, we know that AJB and AIC are similar to AEH.  So:

JB / 5 = 14 / 20

JB = 7/2

IC / 10 = 14 / 20

IC = 7

And since DF and CG are parallel to AH, then DFE and DGE are similar to AHE.  So:

DF / (7/2) = 20 / 14

DF = 5

CG / 7 = 20 / 14

CG = 10

Next we know that AIB and AHC are similar, and DEG and CEH are similar.

IB / 10 = CH / 20

CH / 14 = 4 / 7

CH = 8, IB = 4.

We've found all the lengths inside triangle AEH.  Adding them up:

JB + IB + IC + CH + CG + DG + DF

7/2 + 4 + 7 + 8 + 10 + 4 + 5

41.5

The total length of the inside bars is 41.5 ft.

A firm determines its profit by subtracting from .

Answers

Answer:

A firm determines its profit by subtracting "Total Cost" from "Total Revenue".

Step-by-step explanation:

We have been given a statement "A firm determines its profit by subtracting _____ from ______. Now we need to fill the blanks with suitable words.

We know that there are some initial costs associated with production of any product. So to get the profit, we need to subtract the cost that that is spent during production of the product from total sales.

Hence final answer can be written as:

A firm determines its profit by subtracting "Total Cost" from "Total Revenue".

if there are 125 people and only 57 of them have pets, what percent has pets?

Answers

if we take 125 to be the 100%, what is 57 off of it in percentage?[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 125&100\\ 57&x \end{array}\implies \cfrac{125}{57}=\cfrac{100}{x}\implies 125x=5700 \\\\\\ x=\cfrac{5700}{125}\implies x = 45.6[/tex]

There are 125 people and 57 of the people have pets. What percent of people have pets.

First, we need to understand what the question is asking us to do. We know that there are 125 people altogether and only 57 of the people have pets. We are trying to figure out what percent of the people have pets.

The fraction [tex]\frac{57}{125}[/tex] is representing the 57 people who have pets out of all the people. To find what percent of people have pets, we have to change [tex]\frac{57}{125}[/tex] to a percent.

57 ÷ 125 = 0.456

0.456 × 100 = 45.6%

Therefore, 45.6% of people have have pets.

Plz help me with this

Answers

Answer: D) y = -3 sin 8x

Step-by-step explanation:

The given graph has an amplitude of 3 (A = 3) and a period of π/2 (B = 4).

Therefore, the equation of the graph is: y = 3 sin 8x    Option A

Option B is a reflection of Option A, shifted π units to the left

Option C is Option A, shifted 2π units to the right

Both Options B and C are equivalent to Option A

Option D is a reflection of Option A but since there is no horizontal shift, it cannot be equivalent to Option A

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of `pi`.)
A.
452.16 cm3
B.
840.54 cm3
C.
1,055.04 cm3
D.
1,456.96 cm3

Answers

C. 1,055.04cm3 is the right answer

Which cylinders have the same volume as the cylinder below? Check all that apply.

Answers

Option 2 in the given figure will have a maximum volume of 5120π cubic meters.

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. To find out the volume of the cylinder we need the length and diameter of the cylinder.

The volume of the first figure:-

V = ( π / 4 ) ( d² ) L

V  = ( π / 4 ) ( 10² ) 64  = 1600π cubic meters

The volume of the second figure:-

V = ( π / 4 ) ( d² ) L

V  = ( π / 4 ) ( 32² ) 20  = 5120π cubic meters

The volume of the third figure:-

V = ( π / 4 ) ( d² ) L

V  = ( π / 4 ) ( 10² ) 128  = 3200π cubic meters

We can see that the volume of the third figure is maximum.

Therefore Option 2 in the given figure will have a maximum volume of 5120π cubic meters.

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Answer this please !

Answers

Answer:

x = 90°

Step-by-step explanation:

The diagonals of the kite AC and BD are perpendicular to each other

Hence x = 90°

If the area of the base of one cylinder is 452.16 square units, and the radius of another cylinder is 12 units, which additional fact must be true for the volumes of the two cylinders to be equal? (Use = 3.14)

A. The heights of each cylinder must be the same.
B. The areas of the base of each cylinder must be the same.
C. The circumferences of the base of each cylinder must be the same.
D. The radii of the base of each cylinder must be the same.

Answers

Answer: C. the circumferences of the base of each cylinder must be the same

Step-by-step explanation:

Check the picture below.

so we know that the area of the base of the 1st cylinder is 452.16, and the radius of the 2nd cylinder is 12, hmmm what is the radius of the 1st cylinder anyway?

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=452.16 \end{cases}\implies 452.16=\pi r^2\implies \cfrac{452.16}{\pi }=r^2 \\\\\\ \stackrel{\pi =3.14}{\cfrac{452.16}{3.14 }}=r^2\implies 144=r^2\implies \sqrt{144}=r\implies 12=r[/tex]

low and behold, the radius of the 1st one is 12 as well, so both cylinders have the same radius.  Let's recall the volume of a cylinder is V = πr²h.

now if they can just have the same height, they'd both have the same volume.

What is the common ratio of the geometric sequence below?

–2, 4, –8, 16, –32, ...
-4/2
-2/4
2/4
4/2

Answers

Answer:

[tex]\large\boxed{-\dfrac{4}{2}=-2}[/tex]

Step-by-step explanation:

[tex]a_1,\ a_2,\ a_3,\ a_4,\ ...-\text{geometric sequence}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...-\text{common ratio}\\\\======================\\\\\text{We have}\\\\-2,\ 4,\ -8,\ 16,\ -32,\ ...\\\\\text{The common ratio:}\\\\\dfrac{4}{-2}=-2\\\\\dfrac{-8}{4}=-2\\\\\dfrac{16}{-8}=-2\\\\\dfrac{-32}{16}=-2[/tex]

Emma, Erin, and Eden completed the problem to the right.
a. Who completed the problem correctly?

b. What did the other two students do wrong in their answers?

Answers

Answer: Eden correctly solved the problem.

Step-by-step explanation:

Final answer:

Without specific problem details, it is impossible to provide an accurate answer on who completed the problem correctly and what mistakes the others made.

Explanation:

Without the details of the problem that Emma, Erin, and Eden completed, it is impossible to correctly determine who solved the problem right and what errors the other two students made in their calculations. However, usually, such questions involve displaying similar problems worked out by different students and based on the solution, we would determine who was correct and identify the errors on the part of the other students.

Learn more about Problem-solving here:

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which formula do you use to find the surface area of a cylinder ​

Answers

Answer: Choice A

================================================

Explanation:

The portion that has 2pi*r^2 represents the two base areas (think of the top and bottom of a can). The 2*r*pi*h is the lateral surface area, which can be thought of as the area in which the label covers. So put together the total surface area of the entire cylinder is 2pi*r^2 + 2*r*pi*h

note: 2*r*pi*h is the same as 2pi*r*h

PLEASE HELP RIGHT AWAY

Answers

Answer:

-20

Step-by-step explanation:

Unfortunately, there is no shortcut to solve these... you have to do the work, iteration by iteration.

A recursive function is a function that calls itself and takes as input the output of the previous call.

a = -2 a + 4

a1: 1

a2: -2 (1) + 4 = -2 + 4 = 2

a3: -2 (2) + 4 = -4 + 4 = 0

a4: -2 (0) + 4 = -0 + 4 = 4

a5: -2 (4) + 4 = -8 + 4 = -4

a6: -2 (-4) + 4 = 8 + 4 = 12

a7: -2 (12) + 4 = -24 + 4 = -20

so a7 = -20

A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have taken 1 hour less for the same journey. Find the speed of the train

Answers

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

What is the perimeter of a rectangle where the area is 35 sq inches, (the length is 7inches and the width is 5 inches)?

Answers

Answer:

The perimeter is 24 sq inches.

Step-by-step explanation:

In order to find perimeter, you must add together all the sides. So the equation would be (LxW)2 , or just Length plus Length plus Width plus Width. Therefore, it is either (7x5)2 or 7 + 7 + 5 + 5 which both equal 24 sq inches. Hope this helps!

Final answer:

The perimeter of a rectangle with an area of 35 square inches, length of 7 inches, and width of 5 inches is calculated using the formula P = 2l + 2w, resulting in a perimeter of 24 inches.

Explanation:

To calculate the perimeter of a rectangle when given the area and the dimensions, we use the formula P = 2l + 2w, where 'P' represents the perimeter, 'l' is the length, and 'w' is the width of the rectangle. If we know the length is 7 inches and the width is 5 inches, we can plug these values into the formula to find the perimeter:

P = 2(7) + 2(5) = 14 + 10 = 24 inches.

Therefore, the perimeter of the rectangle with an area of 35 square inches, length of 7 inches, and width of 5 inches is 24 inches.

The sporting equipment has been sorted into baseballs and bats. The number of baseballs is four less than three times the number of bats. The equipment is 80% baseballs. Choose the equation that best represents this scenario

Answers

Answer: Second Option

[tex]\frac{x}{3x-4} = \frac{20}{80}[/tex]

Step-by-step explanation:

The baseball team is composed of bats and balls.

Call x the number of bats and call z the number of balls.

Then we know that:

The number of baseballs is four less than three times the number of bats.

This is:

[tex]z = 3x-4[/tex]      (I)

Then we know that the team is 80% baseballs

This is:

[tex]\frac{x}{z} = \frac{0.2}{0.8}[/tex]    (II)

We substitute the first equation in the second and we have:

[tex]\frac{x}{3x-4} = \frac{0.2}{0.8}\\\\\frac{x}{3x-4} = \frac{20}{80}[/tex]

Answer:

x/(3x-4) = 20/80

Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below. What is the instructor’s hourly fee?


$15 per hour
$22 per hour
$26 per hour
$37 per hour

Answers

Answer:

Hourly fee = $15 per hour

Step-by-step explanation:

Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below.

To find out hourly fee , we use any two points from the given graph

Hourly fee is the slope of the line

LEts pick (2,52)  and (3,67)

Slope = [tex]\frac{y_2-y_1}{x_2-x_1} = \frac{67-52}{3-2} = 15[/tex]

Hourly fee = $15 per hour

Answer:

$15

Step-by-step explanation:

I play the violin and my lessons i get from school ive been playing for 4 and a half years now i no everything and i can surely  tell you its $15

help me with the question please!

Answers

Answer:

hope it's help you.

Mark me at brainlist please

To find what y is when x = 7 plug 7 into x in the equation and solve

y = 7 - 3

y = 4

When x is 7, y is 4

To find what x is when y = 1 plug 1 into y  in the equation and solve

1 = x - 3

1 + 3 = x + (-3 + 3)

4 = x + 0

4 = x

When y is 1, x is 4

To find what x is when y = 7 plug 7 into y in the equation and solve

7 = x - 3

7 + 3 = x + (-3 + 3)

10 = x + 0

10 = x

When y is 7, x is 10

Hope this helped!

~Just a girl in love with Shawn Mendes

Plss help quick its from algebra nation!!!!
which of the following are solutions to the inequality -7x+14>-3x-6?select all that apply

A)-10
B)10
C)-5
D)5
E)-3
F)3
G)0

Answers

-7x-3x > -14-6; -10x > -20 divide both sides by -10; x < 2; Solutions are: A)-10, C) -5, E) -3, G)0

You save $8,500.00. You place 40% in a savings account earning a 4.2% APR compounded annually and the rest in a stock plan. The stock plan decreases 3% in the first year and increases 7.5% in the second year. What is the total gain at the end of the second year for both accounts combined?

Answers

Answer:

The total gain at the end of the second year for both accounts combined is $509.09.

Step-by-step explanation:

Amount saved = $8500

40% of 8500 is saved in saving account; [tex]0.4\times8500=3400[/tex]

Remainder amount in stock plan; [tex]8500-3400=5100[/tex]

Working for savings plan:

[tex]A=p(1+\frac{r}{n})^{nt}[/tex]

Here, p = 3400 ; n = 1 , t = 2 , r = 0.042

Putting values in formula:

[tex]A=3400(1+\frac{0.042}{1})^{2}[/tex]

[tex]A=3400(1+0.042)^{2}[/tex]

A = $3691.60

We get a gain of [tex]3691.60-3400=291.60[/tex] dollars

Working for stock plan:  

The stock plan decreases 3% in the first year and increases 7.5% in the second year.

[tex]5100\times 0.97=4947[/tex]

When increases;

[tex]4947\times1.075=5318.03[/tex]  dollars

So, we get a gain of [tex]5318.03-5100=218.03[/tex] dollars  

Therefore, we have a total gain of [tex]291.06+218.03=509.09[/tex] dollars.

what is the slope of the line y= -2/7x

Answers

Given,

[tex]y = \frac{ - 2}{7} x \\ \frac{2}{7} x + y = 0 \\ \frac{2x + 7y}{7} = 0 \\ 2x + 7y = 0[/tex]

Now,

slope of the line(m) =

[tex] \frac{- coefficient \: of \: x }{coefficient \: of \:y} \\ = \frac{ -2 }{7} [/tex]

Answer:

-2⁄7

Step-by-step explanation:

In the Slope-Intercept Formula, y = mx + b, m is the Rate of Change [Slope]. So, in this case, our slope is -2⁄7.

I am joyous to assist you anytime.

A circular swimming pool has a radius of 15 ft. There is a path all around that pool that is three feet wide.

What is the circumference of the outer edge of the path around the pool? Use 3.14 for pi
56.52 ft
94.20 ft
113.04 ft
114.04 ft

Answers

Pi•r^2

Radius= 15
Plug in and that should give you the blue area. =706.858

If you added 3 feet to the circle that would change the radius to 18 so back to the formula...
Pi•18^2
=1,017.876

To find the shades you would have to subtract the two and get your answer

Interesting. Either the answer choices are wrong or I am.... is the formula right? Lol it’s been too long

Answer:

the circumference of the outer edge of the path around the pool is 113.04 ft

Step-by-step explanation:

Hello, I think I can help you with this

the circumference is given by:

S=2π*r

where, S is the length of the circumference,π=3.14159.., r= radius

Step one

define the radius

the total radius of the pool and the path is

radius=15 ft + 3 ft

radius=18 ft

Step two

π=3.14

radius=18 ft

put the values into the equation

S=2π*r

S=2*3.14*18 ft

S=113.04 ft

the circumference of the outer edge of the path around the pool is 113.04 ft

I hope it helps, Have a nice day.

Can someone please help me

Answers

Answer:

5km=5000m

Because the rate to this is: 1:1000

Answer:

Step-by-step explanation:

[tex]\text{5 km}*\dfrac{1000 m}{1 km} = 5000m[/tex]

Notice that the units cancel out. You always want that to happen. Depending on your grade level and your teacher, you can avoid the proportion by doing the question this way. Always make sure you arrange it so that 1 set of units will cancel.

Can someone please help me it would mean a lot

Answers

Brackish water is shown as being 0.05 - 3%

2% falls in this range, so it would be Brackish water.

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