Question

What is the volume of a sphere that has a diameter of 42 cm?

Use 3.14 to approximate pi and express your answer in hundredths.

Answer 1

`The\ formula\ of\ a\ volume\ of\ a\ sphere:V=(4)/(3)\pi R^3\\-------------------------\\d=2R\to R=(d)/(2)\\\\d=42\ cm\to R=(42)/(2)\ cm=21\ cm\\\\therefore\\\\V=(4)/(3)\pi\cdot21^3=(4)/(3)\pi\cdot9,261=(37,044)/(3)\pi=12,348\pi\approx12,348\cdot3.14\\\\=\boxed{38,772.72\ (cm^3)}`