The positive value of r is \(\sqrt{\frac{v}{\pi h} }\)
What is the volume of cylinder ?
The volume of cylinder is basically the density of the cylinder which amount it can carry.
The volume of cylinder is the product of the area of the circular base and height.
If, r be the base radius and h be the height of a cylinder, then the volume of cylinder(v) = \(\pi r^{2} h\) cubic unit
How to find the value of r from volume of cylinder formula ?
The volume of cylinder(v) = \(\pi r^{2} h\) ,where r=radius, h=height, v=volume of cylinder
∴\(v=\pi r^{2} h\)
⇒\(r^{2} =\frac{v}{\pi h}\)
⇒\(r=\) ±\(\sqrt{\frac{v}{\pi h} }\)
According to the problem, Only the positive value of r is required.
So, \(r=\sqrt{\frac{v}{\pi h} }\)
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