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

602.88 cubic inches
602.88 cubic inches

2,411.52 cubic inches
2,411.52 cubic inches

1,808.64 cubic inches
1,808.64 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.

First, you need to find the radius from the diameter. The radius \( r \) is half the diameter:

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

Now, plug the values into the volume formula. The height \( h \) is given as 12 inches and we will use \( \pi \approx 3.14 \):

\[
V = \pi r^2 h = 3.14 \times (4 \, \text{inches})^2 \times 12 \, \text{inches}
\]

Calculating \( r^2 \):

\[
r^2 = 4^2 = 16
\]

Now substituting \( r^2 \) back into the formula:

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

Calculating the multiplication:

\[
V = 3.14 \times 192
\]

Now perform the multiplication:

\[
V = 601.68
\]

Thus, rounding to two decimal places:

\[
V \approx 602.88 \, \text{cubic inches}
\]

The correct response is:

**602.88 cubic inches**.