Question
volume of a sphere radius 6
Answers
GPT-4o mini
The volume \( V \) of a sphere can be calculated using the formula:
\[
V = \frac{4}{3} \pi r^3
\]
where \( r \) is the radius of the sphere.
For a sphere with a radius of 6:
\[
V = \frac{4}{3} \pi (6)^3
\]
Calculating \( (6)^3 \):
\[
6^3 = 216
\]
Now substituting back into the volume formula:
\[
V = \frac{4}{3} \pi (216)
\]
Now, calculate \( \frac{4}{3} \times 216 \):
\[
V = \frac{864}{3} \pi = 288 \pi
\]
Therefore, the volume of the sphere is:
\[
V \approx 288 \times 3.14159 \approx 904.32
\]
Thus, the volume of the sphere with a radius of 6 is \( 288\pi \) cubic units, or approximately 904.32 cubic units.
\[
V = \frac{4}{3} \pi r^3
\]
where \( r \) is the radius of the sphere.
For a sphere with a radius of 6:
\[
V = \frac{4}{3} \pi (6)^3
\]
Calculating \( (6)^3 \):
\[
6^3 = 216
\]
Now substituting back into the volume formula:
\[
V = \frac{4}{3} \pi (216)
\]
Now, calculate \( \frac{4}{3} \times 216 \):
\[
V = \frac{864}{3} \pi = 288 \pi
\]
Therefore, the volume of the sphere is:
\[
V \approx 288 \times 3.14159 \approx 904.32
\]
Thus, the volume of the sphere with a radius of 6 is \( 288\pi \) cubic units, or approximately 904.32 cubic units.