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 324(pi) cubic inches. What is the least possible height of the container?

Answer 1

9 inches

Explanation:

The volume of a cylinder is given by ...

... V = πr²h

The least height will be the height that makes the volume exactly that which is necessary.

... 324π in³ = π·(6 in)²·h . . . . . . fill in the given information

... (324π in³)/(36π in²) = h = 9 in . . . . . divide by the coefficient of h

The least possible container height is 9 inches.