Question

If r = 3h and V = 1/3πr^2h, solve for r in terms of V.

Answer 1

`r=\sqrt[3]{(9V)/(\pi)}`

Explanation:

`r=3h \implies h=r/3 \\ \\ V=(1)/(3)\pi r^2(r/3) \\ \\ =(\pi)/(9) r^3 \\ \\ (9V)/(\pi)=r^3 \\ \\ r=\sqrt[3]{(9V)/(\pi)}`