Question

The volume of a cylinder is represented by the equation V Tarah, where V is the

Answer 1

Answer:

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

Step-by-step explanation:

The volume of a cylinder is given by :

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

$3V=\pi r^2h$

Dividing both sides by $\pi h$. So,

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

So, the radius of the cylinder is equal to $\sqrt{\dfrac{3V}{\pi h}}$.