Question

A cylinder has a volume of 315 pi cubic meters and a height of 21 meters. What is the area of the base?
15 pi square meters
18 pi square meters
294 pi square meters
6,615 pi square meters

Answer 1

To find the area of the base of the cylinder, we can use the formula for the volume of a cylinder:

\[
V = A \cdot h
\]

where \( V \) is the volume, \( A \) is the area of the base, and \( h \) is the height.

Given that the volume \( V = 315\pi \) cubic meters and the height \( h = 21 \) meters, we can rearrange the formula to solve for the area \( A \):

\[
A = \frac{V}{h}
\]

Substituting in the values we have:

\[
A = \frac{315\pi}{21}
\]

Now, performing the division:

\[
A = 15\pi \text{ square meters}
\]

Thus, the area of the base is \( 15\pi \) square meters.

The correct answer is: **15 pi square meters.**