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

1,808.64 cubic inches

2,411.52 cubic inches

602.88 cubic inches

150.72 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.

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

Now, substitute the values into the volume formula:

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

First, calculate \( 4^2 \):

\[
4^2 = 16
\]

Now substitute this back into the equation:

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

Next, calculate \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

Now substitute that back into the equation for volume:

\[
V = 3.14 \times 192
\]

Calculate \( 3.14 \times 192 \):

\[
V = 602.88
\]

Thus, the volume of the cylinder is **602.88 cubic inches**.

The correct response is:

**602.88 cubic inches**.