Question

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

Answer 1

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**.