Question

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

Answer 1

Answer:

$\frac{32}{3}$ π cm³

Step-by-step explanation:

The volume formula for a sphere is $\frac{4}{3}$ × 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,

$\frac{4}{3}$ × π × 2³ =

$\frac{4}{3}$ × π × 2 × 2 × 2 =

$\frac{4}{3}$ × π × 4 × 2 =

$\frac{4}{3}$ × π × 8 =

$\frac{32}{3}$ × π =

$\frac{32}{3}$ π cm³