Answer:
[tex]\frac{32}{3}[/tex] π cm³
Step-by-step explanation:
The volume formula for a sphere is [tex]\frac{4}{3}[/tex] × π × r³.
Since the diameter is 4 and the diameter is 2 radiuses, we get the radius as 2 centimeters.
Plugging r into our formula we get,
[tex]\frac{4}{3}[/tex] × π × 2³ =
[tex]\frac{4}{3}[/tex] × π × 2 × 2 × 2 =
[tex]\frac{4}{3}[/tex] × π × 4 × 2 =
[tex]\frac{4}{3}[/tex] × π × 8 =
[tex]\frac{32}{3}[/tex] × π =
[tex]\frac{32}{3}[/tex] π cm³
