Answer:
[tex]\large\boxed{h=\dfrac{3V}{\pi r^2}}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a volume of a cone:}\ V=\dfrac{1}{3}\pi r^2h.\\\\\text{Solve for}\ h:\\\\\dfrac{1}{3}\pi r^2h=V\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}\pi r^2h=3V\qquad\text{divide both sides by}\ \pi r^2\\\\h=\dfrac{3V}{\pi r^2}[/tex]
