Question

the volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. the area of the base of the pillar is (pi) square centimeters.

Explanation:

Step1: Recall volume formula

The volume formula of a cylinder is $V = Bh$, where $V$ is volume, $B$ is the area of the base, and $h$ is the height.

Step2: Solve for the base - area

We know that $V = 324\pi$ cubic centimeters and $h = 9$ centimeters. Substituting these values into the formula $V = Bh$, we get $324\pi=B\times9$. Then $B=\frac{324\pi}{9}= 36\pi$ square centimeters.

Answer:

$36\pi$