Question

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

Answer 1

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, and \( h \) is the height of the cone.

Given:
- Radius \( r = 11 \) feet
- Height \( h = 24 \) feet
- Using \( \pi \approx 3.14 \)

Now plug the values into the formula:

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

Calculating \( (11)^2 \):

\[
(11)^2 = 121
\]

Now substitute that back into the equation:

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

Next, calculate \( 121 \times 24 \):

\[
121 \times 24 = 2904
\]

Now substitute that into the volume equation:

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

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

\[
3.14 \times 2904 \approx 9115.76
\]

Now, calculate \( \frac{1}{3} \times 9115.76 \):

\[
V \approx 3038.59
\]

So, the volume of the cone is approximately:

\[
\boxed{3038.59} \text{ cubic feet}
\]