Respuesta :

Answer:

The equation for h in terms of V,r and π is 3V/πr².

Step-by-step explanation:

Given:

The formula for the volume of a cone is [tex]V=\frac{1}{3}\pi r^{2}h[/tex].

Now, for solving the equation we put the formula of cone,

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

Multiplying both sides with 3 we get :

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

Then, dividing both sides by π we get:

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

And, dividing both sides by r² we get:

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

Therefore, the equation for h in terms of V,r and π is 3V/πr².