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)

602.88 cubic inches

2,411.52 cubic inches

150.72 cubic inches

1,808.64 cubic inches

Answer 1

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

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

1. **Calculate the radius**: The diameter of the cylinder is 8 inches, so the radius \( r \) is half of the diameter:

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

2. **Use the height**: The height \( h \) is given as 12 inches.

3. **Substitute the values into the volume formula**:

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

Calculating \( r^2 \):

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

Now, substitute this back into the volume formula:

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

4. **Calculate**:

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

\[
16 \times 12 = 192
\]

Now, multiply this by 3.14:

\[
V = 3.14 \times 192 = 602.88 \text{ cubic inches}
\]

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

The correct answer is:

**602.88 cubic inches**.