Question

A cylinder has radius 9 feet and height 11 feet. Find the volume

Answer 1

The volume \( V \) of a cylinder can be calculated using the formula:

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

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14159.

For your cylinder with a radius of 9 feet and a height of 11 feet:

1. Substitute the values into the formula:

\[
V = \pi (9)^2 (11)
\]

2. Calculate \( 9^2 \):

\[
9^2 = 81
\]

3. Now substitute that back into the volume formula:

\[
V = \pi (81) (11)
\]

4. Calculate \( 81 \times 11 \):

\[
81 \times 11 = 891
\]

5. Now substitute that back:

\[
V = \pi \times 891
\]

6. Finally, approximate \( V \):

\[
V \approx 3.14159 \times 891 \approx 2797.81 \text{ cubic feet}
\]

So the volume of the cylinder is approximately \( 2797.81 \) cubic feet.