Question

A cylinder has a height of 13 feet and a radius of 11 feet. What is its volume? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.cubic feet

Answer 1

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

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

where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.

Given:
- \( r = 11 \) feet,
- \( h = 13 \) feet.

Now, substituting the values into the formula:

\[
V \approx 3.14 \times (11^2) \times 13
\]

First, calculate \( 11^2 \):

\[
11^2 = 121
\]

Now, substitute this value back into the volume formula:

\[
V \approx 3.14 \times 121 \times 13
\]

Next, calculate \( 121 \times 13 \):

\[
121 \times 13 = 1573
\]

Now substitute this value:

\[
V \approx 3.14 \times 1573
\]

Now, calculate \( 3.14 \times 1573 \):

\[
V \approx 4947.82
\]

Thus, the volume of the cylinder is approximately:

\[
\boxed{4947.82} \text{ cubic feet.}
\]