Question

find the volume of a cylinder with as height of 12 inches and a diameter of 8 inches.use 3.14 for pi

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 of the base,
- \( h \) is the height of the cylinder.

First, you need to calculate the radius. The diameter of the cylinder is given as 8 inches, so the radius \( r \) can be calculated as follows:

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

Next, substitute the values into the volume formula. The height \( h \) is given as 12 inches, and we will use \( \pi = 3.14 \).

Now, substitute \( r \) and \( h \) into the volume formula:

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

Calculating \( (4 \, \text{inches})^2 \):

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

Now substitute this back into the volume equation:

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

Now multiply \( 16 \times 12 \):

\[
16 \times 12 = 192 \, \text{cubic inches}
\]

Next, multiply this result by \( 3.14 \):

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

Calculating \( 3.14 \times 192 \):

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

Therefore, the volume of the cylinder is approximately \( 602.88 \, \text{cubic inches} \).