Question
The radius of the given cylinder is
8
8 feet, and the height of the cylinder is
24
24 feet. What is the volume of the cylinder? Express your answer in terms of
π
π.
A cylinder.
cubic feet
Answers
GPT-4o mini
The volume \( V \) of a cylinder can be calculated using the formula:
\[
V = \pi r^2 h
\]
where \( r \) is the radius and \( h \) is the height.
Given:
- Radius \( r = 8 \) feet
- Height \( h = 24 \) feet
Substituting the values into the formula:
\[
V = \pi (8^2) (24)
\]
Calculating \( 8^2 \):
\[
8^2 = 64
\]
Now substituting back into the volume formula:
\[
V = \pi (64) (24)
\]
Next, calculate \( 64 \times 24 \):
\[
64 \times 24 = 1536
\]
So the volume of the cylinder is:
\[
V = 1536\pi
\]
Therefore, the volume of the cylinder is
\[
\boxed{1536\pi} \text{ cubic feet}
\]
\[
V = \pi r^2 h
\]
where \( r \) is the radius and \( h \) is the height.
Given:
- Radius \( r = 8 \) feet
- Height \( h = 24 \) feet
Substituting the values into the formula:
\[
V = \pi (8^2) (24)
\]
Calculating \( 8^2 \):
\[
8^2 = 64
\]
Now substituting back into the volume formula:
\[
V = \pi (64) (24)
\]
Next, calculate \( 64 \times 24 \):
\[
64 \times 24 = 1536
\]
So the volume of the cylinder is:
\[
V = 1536\pi
\]
Therefore, the volume of the cylinder is
\[
\boxed{1536\pi} \text{ cubic feet}
\]