Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
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
[tex]3V=\pi r^ 2h[/tex]
Dividing both sides by πh.
[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2 h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
So, the formula for r is [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex]
