Question
volume of the cone with radius of 3 and height of 7
Answers
GPT-4o mini
The volume \( V \) of a cone can be calculated using the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
where \( r \) is the radius and \( h \) is the height.
Given:
- Radius \( r = 3 \)
- Height \( h = 7 \)
Substituting these values into the formula:
\[
V = \frac{1}{3} \pi (3^2) (7)
\]
\[
= \frac{1}{3} \pi (9) (7)
\]
\[
= \frac{1}{3} \pi (63)
\]
\[
= 21 \pi
\]
Thus, the volume of the cone is \( 21\pi \) cubic units. If you need a numerical approximation, using \( \pi \approx 3.14 \):
\[
21 \pi \approx 21 \times 3.14 \approx 65.94
\]
So, the volume is approximately \( 65.94 \) cubic units.
\[
V = \frac{1}{3} \pi r^2 h
\]
where \( r \) is the radius and \( h \) is the height.
Given:
- Radius \( r = 3 \)
- Height \( h = 7 \)
Substituting these values into the formula:
\[
V = \frac{1}{3} \pi (3^2) (7)
\]
\[
= \frac{1}{3} \pi (9) (7)
\]
\[
= \frac{1}{3} \pi (63)
\]
\[
= 21 \pi
\]
Thus, the volume of the cone is \( 21\pi \) cubic units. If you need a numerical approximation, using \( \pi \approx 3.14 \):
\[
21 \pi \approx 21 \times 3.14 \approx 65.94
\]
So, the volume is approximately \( 65.94 \) cubic units.