Question

I need help, please

Answer 1

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

Explanation:

Given:

The formula for the volume of a cone is
`V=(1)/(3)\pi r^(2)h`.

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

`V=(1)/(3)\pi r^(2)h`.

Multiplying both sides with 3 we get :

`3V=\pi r^(2)h`

Then, dividing both sides by π we get:

`(3V)/(\pi)=r^(2)h`.

And, dividing both sides by r² we get:

`(3V)/(\pi r^(2) )=h`.

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