Question

The radius of the base of a right cylinder is 12cm, and the height of the cylinder is 18cm. In terms of pi, what is the volume of the cylinder?

216pi
1,438pi
2,592pi
3,888pi

Answer 1

The volume \( V \) of a right cylinder can be calculated using the formula:

\[
V = \pi r^2 h
\]

where \( r \) is the radius of the base and \( h \) is the height of the cylinder.

Given:
- \( r = 12 \) cm
- \( h = 18 \) cm

Substituting the values into the formula:

\[
V = \pi (12)^2 (18)
\]

Calculating \( (12)^2 \):

\[
(12)^2 = 144
\]

Now substitute this value back into the volume formula:

\[
V = \pi (144)(18)
\]

Now calculate \( 144 \times 18 \):

\[
144 \times 18 = 2592
\]

So, the volume of the cylinder is:

\[
V = 2592\pi
\]

Thus, the volume of the cylinder in terms of \( \pi \) is:

\[
\boxed{2592\pi}
\]