Question

A cylinder has diameter of 6 cm and a volume of 36 pi cm 3 . Find it's height and radius in centimeters

Answer 1

Answer:

Radius is 3

Height is 4

Step-by-step explanation:

First you'll have to find the radius

6/2=3

Then, use the formula Base (PI*radius squared)* height

To find the base, you'll have to use the radius, 3, times it by itself, 3, and get 9.

3*3=9

Then, multiply 9 by 3.14, first three digits of pi, and get 28.26

9*3.14=28.26

28.26=base

Now, you'll have to find the height

Since you know what the volume is 36 pi 3

36*3.14=113.04 <--volume without pi

Then, divide 113.04 (volume) by 28.26 (base) and get 4 (height)

113.04/28.26=4

That's why the radius is 3 and the height is 4