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)
Responses

150.72 cubic inches
150.72 cubic inches

1,808.64 cubic inches
1,808.64 cubic inches

2,411.52 cubic inches
2,411.52 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, and \( h \) is the height of the cylinder.

1. First, calculate the radius from the diameter. The diameter is 8 inches, so the radius \( r \) is:

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

2. Now plug the values into the volume formula. Using \( \pi \approx 3.14 \) and the height \( h = 12 \) inches:

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

3. Calculate \( 4^2 \):

\[
4^2 = 16
\]

4. Now substitute that back into the volume formula:

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

5. Multiply \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

6. Now multiply by 3.14:

\[
V = 3.14 \times 192
\]

7. Performing the multiplication:

\[
V = 602.88
\]

So the volume of the cylinder is **602.88 cubic inches**. Therefore, the correct response is:

**602.88 cubic inches**.