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

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(1 point)
Responses

3,600 feet3
3,600 feet cubed

942 feet3
942 feet cubed

23,550 feet3
23,550 feet cubed

11,304 feet3

1 answer

The volume \( V \) of a right circular cylinder is given by the formula:

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

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

Given:

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

Now, plug in the values:

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

First, calculate \( 12^2 \):

\[ 12^2 = 144 \]

Now substitute this back into the volume formula:

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

Next, calculate \( 144 \times 25 \):

\[ 144 \times 25 = 3600 \]

Now substitute this value back into the equation for volume:

\[ V = 3.14 \times 3600 \]

Now do the multiplication:

\[ V = 11304 \]

Thus, the volume of the cylinder is:

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

So the correct response is:

11,304 feet³.