Question

The equation V=13πr2h relates the volume V, the radius r, and the height h of a cone. Write h in terms of V and r.

Answer 1

$V= \frac{1}{3} \pi r^2h \\ \\ 3V= \pi r^2h \\ \\ h= \cfrac{3V}{\pi r^2}$

Answer 2

V=(1/3)pir^2h
times both sides by 3
3V=pir^2h
divide both sides by (pir^2)
$\frac{3V}{\pi r^2}=h$