Question
The radius of the cylinder is 2 in, and the height is 6 in. What is the volume of the cylinder?
You're trying to find the volume of the cylinder. We know the radius is 2 inches, and the height is 6 inches. So, we can start by substituting 2 for r and 6 for h in the formula. Do that now.
2
6
V=π r
2
h
V=π ·
2
·
You're trying to find the volume of the cylinder. We know the radius is 2 inches, and the height is 6 inches. So, we can start by substituting 2 for r and 6 for h in the formula. Do that now.
2
6
V=π r
2
h
V=π ·
2
·
Answers
GPT-4o mini
To calculate the volume of the cylinder, you can use the formula:
\[
V = \pi r^2 h
\]
Given that the radius \( r = 2 \) inches and the height \( h = 6 \) inches, you can substitute these values into the formula:
\[
V = \pi (2)^2 (6)
\]
Calculating \( (2)^2 \):
\[
(2)^2 = 4
\]
Now substitute \( 4 \) back into the volume formula:
\[
V = \pi (4) (6)
\]
Now multiply \( 4 \) by \( 6 \):
\[
4 \times 6 = 24
\]
Thus, the volume formula becomes:
\[
V = 24\pi \text{ cubic inches}
\]
Therefore, the volume of the cylinder is:
\[
V \approx 24 \times 3.14159 \approx 75.398 \text{ cubic inches}
\]
So the volume of the cylinder is \( 24\pi \) cubic inches or approximately \( 75.4 \) cubic inches when calculated numerically.
\[
V = \pi r^2 h
\]
Given that the radius \( r = 2 \) inches and the height \( h = 6 \) inches, you can substitute these values into the formula:
\[
V = \pi (2)^2 (6)
\]
Calculating \( (2)^2 \):
\[
(2)^2 = 4
\]
Now substitute \( 4 \) back into the volume formula:
\[
V = \pi (4) (6)
\]
Now multiply \( 4 \) by \( 6 \):
\[
4 \times 6 = 24
\]
Thus, the volume formula becomes:
\[
V = 24\pi \text{ cubic inches}
\]
Therefore, the volume of the cylinder is:
\[
V \approx 24 \times 3.14159 \approx 75.398 \text{ cubic inches}
\]
So the volume of the cylinder is \( 24\pi \) cubic inches or approximately \( 75.4 \) cubic inches when calculated numerically.