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. 602.88 cubic inches
2. 1,808.64 cubic inches
3. 150.72 cubic inches
4. 2,411.52 cubic inches

Answer 1

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

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

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

Given:
- Diameter = 8 inches, so the radius \( r = \frac{8}{2} = 4 \) inches.
- Height \( h = 12 \) inches.

Now, substituting the values into the formula:

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

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substituting this value into the volume formula:

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

Calculating \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

Now, substituting back into the volume formula:

\[
V = 3.14 \times 192
\]

Calculating \( 3.14 \times 192 \):

\[
3.14 \times 192 = 602.88
\]

Therefore, the volume of the cylinder is:

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

The correct answer is option 1: **602.88 cubic inches**.