Question

Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches. Use 3.14 for pi.(1 point)

602.88 cubic inches 602.88 cubic inches 150.72 cubic inches 150.72 cubic inches 2,411.52 cubic inches 2,411.52 cubic inches 1,808.64 cubic inches

Answer 1

To find the volume of a cylinder, you can use the formula:

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

where \( V \) is the volume, \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.

First, we need to determine the radius of the cylinder. The diameter is given as 8 inches, so the radius \( r \) is half of that:

\[
r = \frac{\text{diameter}}{2} = \frac{8}{2} = 4 \text{ inches}
\]

Next, we can substitute the values into the volume formula:

\[
V = 3.14 \times (4)^2 \times 12
\]

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substituting that back into the volume formula:

\[
V = 3.14 \times 16 \times 12
\]

Calculating \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

Now, substituting that back:

\[
V = 3.14 \times 192
\]

Now calculating \( 3.14 \times 192 \):

\[
3.14 \times 192 = 602.88
\]

Therefore, the volume of the cylinder is

\[
\boxed{602.88} \text{ cubic inches.}
\]