Question

Rewrite the formula to solve for the positive value of r in terms of h and v.

Answer 1

Answer:

$r=\sqrt{\dfrac{3V}{\pi h}}$

Step-by-step explanation:

The formula for the volume of a cone is given by :

$V=\dfrac{1}{3}\pi r^2 h$

Where

r is radius of cone and h is its height

We need to solve the above formula for r.

Cross multiplying both sides of the given formula

$3V=\pi r^ 2h$

Dividing both sides by πh.

$\dfrac{3V}{\pi h}=\dfrac{\pi r^2 h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\r=\sqrt{\dfrac{3V}{\pi h}}$

So, the formula for r is $\sqrt{\dfrac{3V}{\pi h}}$