Question

volume of a phere radius of 3

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 3:

\[
V = \frac{4}{3} \pi (3)^3
\]
\[
V = \frac{4}{3} \pi (27)
\]
\[
V = \frac{108}{3} \pi
\]
\[
V = 36\pi
\]

So the volume of the sphere is \( 36\pi \) cubic units. If you'd like a numerical approximation, using \( \pi \approx 3.14 \):

\[
V \approx 36 \times 3.14 \approx 113.04
\]

Thus, the volume is approximately \( 113.04 \) cubic units.