Question
volume of a cylinder with radius 12 and height of 50
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,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14159.
For a cylinder with a radius of 12 and a height of 50:
\[
V = \pi (12)^2 (50)
\]
Calculating \( (12)^2 \):
\[
(12)^2 = 144
\]
Now substitute this back into the volume formula:
\[
V = \pi (144)(50)
\]
\[
V = \pi (7200)
\]
Finally, using \( \pi \approx 3.14159 \):
\[
V \approx 3.14159 \times 7200 \approx 22619.47
\]
So, the volume of the cylinder is approximately \( 22619.47 \) cubic units.
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14159.
For a cylinder with a radius of 12 and a height of 50:
\[
V = \pi (12)^2 (50)
\]
Calculating \( (12)^2 \):
\[
(12)^2 = 144
\]
Now substitute this back into the volume formula:
\[
V = \pi (144)(50)
\]
\[
V = \pi (7200)
\]
Finally, using \( \pi \approx 3.14159 \):
\[
V \approx 3.14159 \times 7200 \approx 22619.47
\]
So, the volume of the cylinder is approximately \( 22619.47 \) cubic units.