Question
calculate the volume of a cylinder with radius of 3 and height of 8
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 and \( h \) is the height.
Given:
- Radius \( r = 3 \)
- Height \( h = 8 \)
Plugging in the values:
\[
V = \pi (3)^2 (8)
\]
\[
V = \pi (9)(8)
\]
\[
V = 72\pi
\]
So, the volume of the cylinder is \( 72\pi \) cubic units. If you need a numerical approximation, using \( \pi \approx 3.14 \):
\[
V \approx 72 \times 3.14 \approx 226.08
\]
Thus, the volume is approximately \( 226.08 \) cubic units.
\[
V = \pi r^2 h
\]
where \( r \) is the radius and \( h \) is the height.
Given:
- Radius \( r = 3 \)
- Height \( h = 8 \)
Plugging in the values:
\[
V = \pi (3)^2 (8)
\]
\[
V = \pi (9)(8)
\]
\[
V = 72\pi
\]
So, the volume of the cylinder is \( 72\pi \) cubic units. If you need a numerical approximation, using \( \pi \approx 3.14 \):
\[
V \approx 72 \times 3.14 \approx 226.08
\]
Thus, the volume is approximately \( 226.08 \) cubic units.