Question
calculate the volume of a cylinder with a height of 20 cm and a radius of 5 cm: leave your answer in terms of pi
Answers
Answered by
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 of the base of the cylinder,
- \( h \) is the height of the cylinder.
Given:
- Height \( h = 20 \) cm,
- Radius \( r = 5 \) cm.
Plugging in these values:
\[
V = \pi (5)^2 (20)
\]
\[
V = \pi (25) (20)
\]
\[
V = \pi (500)
\]
\[
V = 500\pi
\]
Thus, the volume of the cylinder is \( 500\pi \) cubic centimeters.
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder.
Given:
- Height \( h = 20 \) cm,
- Radius \( r = 5 \) cm.
Plugging in these values:
\[
V = \pi (5)^2 (20)
\]
\[
V = \pi (25) (20)
\]
\[
V = \pi (500)
\]
\[
V = 500\pi
\]
Thus, the volume of the cylinder is \( 500\pi \) cubic centimeters.