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)

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 of the cylinder.

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

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

2. Next, plug in the values into the volume formula. The height \( h \) is 12 inches:

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

3. Calculate \( (4)^2 \):

\[
(4)^2 = 16
\]

4. Now substitute back into the volume formula:

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

5. Multiply \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

6. Finally, multiply by 3.14:

\[
V = 3.14 \times 192 \approx 602.88
\]

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