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
1,808.64 cubic inches
2,411.52 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, and \( h \) is the height.

First, we need to find the radius of the cylinder. The radius is half of the diameter:

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

Now, plug in the values into the formula with \( h = 12 \) inches and \( \pi \approx 3.14 \):

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

Calculate \( (4 \text{ inches})^2 \):

\[
(4 \text{ inches})^2 = 16 \text{ square inches}
\]

Now substitute that back into the volume formula:

\[
V = 3.14 \times 16 \text{ square inches} \times 12 \text{ inches}
\]

Now multiply:

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

Calculating that gives:

\[
V = 602.88 \text{ cubic inches}
\]

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