Respuesta :
Multiply by the inverse of the coefficient of h.
[tex]h=\dfrac{3V}{\pi r^2}[/tex]
[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]