Question

Sandra calculated the height of a cylinder that has a volume of 576 π cubic centimeters and a radios of 8 centimeters. Her work is shown below.

Answer 1

`\boxed{Height \: of \: cylinder = 9 \: centimeters}`

Given:

Volume of cylinder = 576π cubic centimeters

Radius of cylinder (r) = 8 centimeters

Explanation:

Let the height of cylinder be 'h'

`= > Volume \: of \: cylinder = \pi {r}^(2) h \\ \\ = > 576 \cancel{\pi} = \cancel{ \pi}( {8}^(2) )h \\ \\ = > 576 = 64h \\ \\ = > 64h = 576 \\ \\ = > h = (576)/(64) \\ \\ = > h = 9 \: centimeters`

Height of cylinder = 9 centimeters