Question

Find the volume of the cylinder below. Use 3.14 for pie. 12 feet tall 7 feet diameter 18 feet height.

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 determine the radius of the cylinder. The diameter is given as 7 feet, so the radius \( r \) is half of the diameter:

\[
r = \frac{7}{2} = 3.5 \text{ feet}
\]

Next, we use the height of the cylinder, which is given as 12 feet. Now we can plug the values into the volume formula, using \( \pi \approx 3.14 \):

\[
V = 3.14 \times (3.5)^2 \times 12
\]

Calculating \( (3.5)^2 \):

\[
(3.5)^2 = 12.25
\]

Now substituting back into the volume formula:

\[
V = 3.14 \times 12.25 \times 12
\]

Calculating \( 3.14 \times 12.25 \):

\[
3.14 \times 12.25 = 38.425
\]

Now, multiplying by the height (12 feet):

\[
V = 38.425 \times 12 = 461.1
\]

Thus, the volume of the cylinder is approximately:

\[
\boxed{461.1} \text{ cubic feet}
\]