Question

find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches use 3.14 for pi 2,411.52 602.88 150.72 1,808.64

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,
- \( \pi \) is approximately 3.14 (as specified).

Given:
- Height (\( h \)) = 12 inches
- Diameter = 8 inches

First, we need to find the radius \( r \), which is half the diameter:

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

Now, plug the radius and height into the volume formula:

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

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute back into the volume formula:

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

Calculating \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

Now substitute that back:

\[
V = 3.14 \times 192
\]

Now perform the multiplication:

\[
V = 602.88
\]

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