Question
what is the volume of the cylinder its radius is 8mm and its height is 13mm
Answers
GPT-4o mini
To calculate the volume \( V \) of a cylinder, you can use the formula:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14159.
In this case, the radius \( r \) is 8 mm and the height \( h \) is 13 mm. Plugging in those values:
\[
V = \pi (8 \, \text{mm})^2 (13 \, \text{mm})
\]
First, calculate \( r^2 \):
\[
(8 \, \text{mm})^2 = 64 \, \text{mm}^2
\]
Now, substitute \( r^2 \) into the volume formula:
\[
V = \pi (64 \, \text{mm}^2) (13 \, \text{mm})
\]
Now, multiply:
\[
V = \pi (832 \, \text{mm}^3)
\]
Finally, multiply by \( \pi \):
\[
V \approx 3.14159 \times 832 \, \text{mm}^3 \approx 2617.99 \, \text{mm}^3
\]
So, the volume of the cylinder is approximately \( 2618 \, \text{mm}^3 \).
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14159.
In this case, the radius \( r \) is 8 mm and the height \( h \) is 13 mm. Plugging in those values:
\[
V = \pi (8 \, \text{mm})^2 (13 \, \text{mm})
\]
First, calculate \( r^2 \):
\[
(8 \, \text{mm})^2 = 64 \, \text{mm}^2
\]
Now, substitute \( r^2 \) into the volume formula:
\[
V = \pi (64 \, \text{mm}^2) (13 \, \text{mm})
\]
Now, multiply:
\[
V = \pi (832 \, \text{mm}^3)
\]
Finally, multiply by \( \pi \):
\[
V \approx 3.14159 \times 832 \, \text{mm}^3 \approx 2617.99 \, \text{mm}^3
\]
So, the volume of the cylinder is approximately \( 2618 \, \text{mm}^3 \).
use 3.14 as pi