Question

You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π cubic inches. What is the least possible height of the container?
The least possible height of the container is __ inches.

Answer 1

By definition, the volume of a cylinder is given by:

$V =\pi r^2h$

Where,

r: cylinder radius

h: cylinder height

From here, we clear the height.

We have then:

$h = \frac{V}{\pi r^2 }$

Then, replacing values we have:

$h = \frac{324\pi }{\pi 6^2 }$

$h = 9 inches$

Answer:

The least possible height of the container is 9 inches.