Question

The radius of the given cylinder is
6
6 inches, and the height of the cylinder is
24
24 inches. What is the volume of the cylinder? Express your answer in terms of
π
π.



A cylinder.

Answer 1

The formula for the volume \( V \) of a cylinder is given by:

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

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.

In this case, the radius \( r \) is 6 inches and the height \( h \) is 24 inches. Plugging these values into the formula, we have:

\[
V = \pi (6)^2 (24)
\]

Calculating \( (6)^2 \):

\[
(6)^2 = 36
\]

Now substituting back into the volume formula:

\[
V = \pi (36)(24)
\]

Next, we calculate \( 36 \times 24 \):

\[
36 \times 24 = 864
\]

Thus, the volume of the cylinder is:

\[
V = 864\pi
\]

Therefore, the volume of the cylinder, expressed in terms of \( \pi \), is

\[
\boxed{864\pi} \text{ cubic inches.}
\]