Respuesta :

Multiply by the inverse of the coefficient of h.

[tex]h=\dfrac{3V}{\pi r^2}[/tex]

Answer:

[tex]h=\frac{3V}{\pi r^2}[/tex]

Step-by-step explanation:

  Given : formula  [tex]V=\frac{1}{3}\pi r^2h[/tex]

We have to solve the formula for h.

Consider the given formula [tex]V=\frac{1}{3}\pi r^2h[/tex]    

Multiply both side by 3, we have,

[tex]3V=\pi r^2h[/tex]

Now, divide both side by π, we get,

[tex]\frac{3V}{\pi}=r^2h[/tex]

Again divide both side by r², we get,

[tex]\frac{3V}{\pi r^2}=h[/tex]

Thus,  [tex]h=\frac{3V}{\pi r^2}[/tex]