Question

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

A) 32/3π cm^3

B) 8π cm^3

C) 64/3π cm^3

D) 16π cm^3

Answer 1

32
`\pi`/3 cm³

Explanation:

If the diameter is 4 cm, then the radius is 2 cm.

Use the sphere volume formula:

V = 4/3
`\pi`r³

Plug in the radius and solve:

V = 4/3
`\pi`(2)³

V = 4/3
`\pi`(8)

V = 32
`\pi`/3

So, the volume of the sphere is 32
`\pi`/3 cm³