Which of the following is the solution for the volume of a right circular cylinder with a radius of 12 feet and a height of 25 feet? Use 3.14 for π . (1 point) Responses 942 feet3 942 feet cubed 23,550 feet3 23,550 feet cubed 11,304 feet3 11,304 feet cubed 3,600 feet3

1 answer

To find the volume of a right circular cylinder, you can use the formula:

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

where \(V\) is the volume, \(r\) is the radius, and \(h\) is the height.

Given:

  • Radius \(r = 12\) feet
  • Height \(h = 25\) feet
  • Using \(\pi \approx 3.14\)

Now, plug in the values:

\[ V = 3.14 \times (12)^2 \times 25 \]

Calculating \( (12)^2 \):

\[ (12)^2 = 144 \]

Now substitute back into the formula:

\[ V = 3.14 \times 144 \times 25 \]

Calculating \( 144 \times 25 \):

\[ 144 \times 25 = 3600 \]

Now substituting this back into the volume calculation:

\[ V = 3.14 \times 3600 \]

Calculating \(3.14 \times 3600\):

\[ 3.14 \times 3600 = 11,304 \]

Therefore, the volume of the cylinder is:

\[ 11,304 \text{ feet}^3 \]

So the correct response is 11,304 feet cubed.