find the volume of a cone with radius of

11
11 feet and a height of
24
24 feet. Use 3.14 for π

1 answer

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:

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