Question
Complete the formula we would use to find the volume of a cylinder with a base radius of 8 in and a height of 40 in
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Answered by
GPT-4o mini
The formula to find the volume \( V \) of a cylinder is:
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
Given:
- Base radius \( r = 8 \) inches
- Height \( h = 40 \) inches
Substituting the values into the formula gives:
\[
V = \pi (8^2)(40)
\]
Now calculate \( 8^2 \):
\[
8^2 = 64
\]
So the volume formula becomes:
\[
V = \pi (64)(40)
\]
Now calculate \( 64 \times 40 \):
\[
64 \times 40 = 2560
\]
Thus, the volume is:
\[
V = \pi \times 2560
\]
Therefore, the complete formula for the volume of the cylinder is:
\[
V = 2560\pi \text{ cubic inches}
\]
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
Given:
- Base radius \( r = 8 \) inches
- Height \( h = 40 \) inches
Substituting the values into the formula gives:
\[
V = \pi (8^2)(40)
\]
Now calculate \( 8^2 \):
\[
8^2 = 64
\]
So the volume formula becomes:
\[
V = \pi (64)(40)
\]
Now calculate \( 64 \times 40 \):
\[
64 \times 40 = 2560
\]
Thus, the volume is:
\[
V = \pi \times 2560
\]
Therefore, the complete formula for the volume of the cylinder is:
\[
V = 2560\pi \text{ cubic inches}
\]
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