Question

HELLPP

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

Answer 1

`\large\boxed{V=(32)/(3)\pi\ cm^3}`

Explanation:

`\text{The formula of a volume of a sphere:}\\\\V=(4)/(3)\pi R^3\\\\R-radius\\\\\text{A diameter}\ D=2R\Rightarrow R=(D)/(2).\\\\\text{We have}\ D=4\ cm\to R=(4)/(2)\ cm=2\ cm\\\\\text{Substitute:}\\\\V=(4)/(3)\pi(2)^3=(4)/(3)\pi(8)=(32)/(3)\pi\ cm^3`