Question
A cylindrical object has a radius of 7cm and the height is 8cm. Calculate the volume
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 of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14159.
Given:
- Radius \( r = 7 \, \text{cm} \)
- Height \( h = 8 \, \text{cm} \)
Substituting the values into the formula:
\[
V = \pi (7 \, \text{cm})^2 (8 \, \text{cm})
\]
Calculating \( (7 \, \text{cm})^2 \):
\[
(7 \, \text{cm})^2 = 49 \, \text{cm}^2
\]
Now substituting this value back into the volume formula:
\[
V = \pi (49 \, \text{cm}^2) (8 \, \text{cm})
\]
\[
V = \pi (392 \, \text{cm}^3)
\]
Now using \( \pi \approx 3.14159 \):
\[
V \approx 3.14159 \times 392 \, \text{cm}^3 \approx 1236.76 \, \text{cm}^3
\]
Therefore, the volume of the cylindrical object is approximately \( 1236.76 \, \text{cm}^3 \).
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14159.
Given:
- Radius \( r = 7 \, \text{cm} \)
- Height \( h = 8 \, \text{cm} \)
Substituting the values into the formula:
\[
V = \pi (7 \, \text{cm})^2 (8 \, \text{cm})
\]
Calculating \( (7 \, \text{cm})^2 \):
\[
(7 \, \text{cm})^2 = 49 \, \text{cm}^2
\]
Now substituting this value back into the volume formula:
\[
V = \pi (49 \, \text{cm}^2) (8 \, \text{cm})
\]
\[
V = \pi (392 \, \text{cm}^3)
\]
Now using \( \pi \approx 3.14159 \):
\[
V \approx 3.14159 \times 392 \, \text{cm}^3 \approx 1236.76 \, \text{cm}^3
\]
Therefore, the volume of the cylindrical object is approximately \( 1236.76 \, \text{cm}^3 \).