Question

Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches.
A. 602.88 cubic inches B. 1,808.64 cubic inches C. 150.72 cubic inches D. 2,411.52 cubic inches

Answer 1

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

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

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

Given the diameter of the cylinder is 8 inches, we can find the radius by dividing the diameter by 2:

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

Now, we have the height \( h = 12 \) inches and radius \( r = 4 \) inches. Plugging these values into the volume formula:

\[
V = \pi (4 \text{ inches})^2 (12 \text{ inches})
\]
\[
V = \pi (16 \text{ square inches}) (12 \text{ inches})
\]
\[
V = 192\pi \text{ cubic inches}
\]

Now, we will approximate the value of \( \pi \) as \( 3.14 \):

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

Thus, the volume of the cylinder is approximately \( 602.88 \) cubic inches.

The correct answer is:
**A. 602.88 cubic inches**.