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

Answer:

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

Given:

Volume of cylinder = 576π cubic centimeters

Radius of cylinder (r) = 8 centimeters

Step-by-step explanation:

Let the height of cylinder be 'h'

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

Height of cylinder = 9 centimeters