Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
The volume of a cylinder is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex] .....(1)
Where
r and h are the radius and the height of the cylinder.
We need to solve the equation of r. Cross multiplying both sides in equation (1).
[tex]3V=\pi r^2h[/tex]
Dividing both sides by [tex]\pi h[/tex]. So,
[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\or\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
So, the radius of the cylinder is equal to [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex].
