Question

find the volume of a cone with radius of
11 feet and a height of
24 feet. Use 3.14 for π

Answer 1

that is not correct

Answer 2

To find the volume of a cone, you can use the formula:

\[
V = \frac{1}{3} \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cone, and
- \( \pi \) is approximately 3.14.

Given:
- \( r = 11 \) feet,
- \( h = 24 \) feet,
- \( \pi = 3.14 \).

Now, substitute the values into the formula:

\[
V = \frac{1}{3} \times 3.14 \times (11)^2 \times 24
\]

First, calculate \( (11)^2 \):

\[
(11)^2 = 121
\]

Now substitute that back into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 121 \times 24
\]

Now calculate \( 121 \times 24 \):

\[
121 \times 24 = 2904
\]

Now substitute this value back into the formula:

\[
V = \frac{1}{3} \times 3.14 \times 2904
\]

Next, calculate \( 3.14 \times 2904 \):

\[
3.14 \times 2904 = 9125.76
\]

Now, divide this by 3:

\[
V = \frac{9125.76}{3} \approx 3041.92
\]

Therefore, the volume of the cone is approximately:

\[
\boxed{3041.92} \text{ cubic feet}
\]