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)
• 2,411.52 cubic inches
• 150.72 cubic inches
• 1,808.64 cubic inches
• 602.88 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.

1. First, determine the radius. Since the diameter is 8 inches, the radius \( r \) is half of that:

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

2. Now, plug the values into the volume formula. The height \( h \) is 12 inches.

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

3. Calculate \( (4)^2 \):

\[
(4)^2 = 16
\]

4. Now substitute back into the volume formula:

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

5. Calculate \( 3.14 \times 16 \):

\[
3.14 \times 16 = 50.24
\]

6. Now multiply that result by 12:

\[
50.24 \times 12 = 602.88
\]

Therefore, the volume of the cylinder is:

\[
602.88 \text{ cubic inches}
\]

So, the answer is:

• **602.88 cubic inches**