Question

A cylinder has a height of 7 inches. Its volume is 2,659.58 cubic inches. What is the radius of the cylinder? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

Formula to calculate radius:

r = √(V / π h)

Where,
r = Radius of Cylinder
V = Volume of Cylinder
h = Height of the Cylinde
Taken from EasyCalculation.com, please do the work on your own and not use their calculator.

Answer 2

@AZ Take over

Answer 3

okay haha

so do you know the formula for volume of a cylinder?

\(\text{volume} = \pi r h\)

Have you seen that before?

Answer 4

They tell you that the height (which is 'h' in the formula) is 7

The volume is 2,659.58 and to replace \(\pi\) with 3.14

and then you just have to to solve for 'r'

Answer 5

when i slove for r its a long number..

Answer 6

What do you get?

Answer 7

I made a mistake in the formula

it should be

\(\text{volume} = \pi r^2 h\)

Answer 8

so if you plug in the numbers they gave you

\( 2659.58 = (3.14)\times r^2 \times 7\)

what do you get if you solve for 'r'

Answer 9

17.28577928

Answer 10

No, how did you get that?

First things first, we want to get the \( r^2\) all by itself so then that way we can eventually find \( r\)

But first, let's simplify it

what is 3.14 * 7 = ?

Answer 11

its 21.98

Answer 12

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeee i hate cylinders

Answer 13

now divide that on both sides so that way we can get r^2 all by itself

so what is 2659.58 / 21.98 = ?

Answer 14

121

Answer 15

121

Answer 16

then devide that by 3.14?

Answer 17

so now we have

\( r^2 = 121\)

do you know what r = ?

you have to take the square root on both sides

Answer 18

11

Answer 19

That's your answer!

Answer 20

thank you very much

Answer 21

:D Thanks big brain

Answer 22

You're welcome :D

Answer 23

:D btw the problem was for me i asked him for help so he posted it

Answer 24

oh, glad I could help!! :)

Answer 25

thx