Question

What is the volume of a sphere that has a diameter of 18 in.?

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

in3

Answer 1

`The\ volume\ of\ the\ sphere:V=(4)/(3)\pi R^3\\\\diameter=18in;\ the\ diameter=2\ times\ radius\ therefore\\ R=18in:2=9in\\\\so\\\\V=(4)/(3)\pi\cdot9^3=(4)/(3)\pi\cdot729=4\pi\cdot243=\boxed{972\pi\ (in^3)}\\\\approximate\ \pi\approx3.14,\ you\ have\ answer:\\\\V\approx972\cdot3.14=\boxed{3052.08\ (in^3)}`