A sphere and a right circular cylinder of the same volumes. By what percentage does the diameter of the height?

Question

Philoid · Accepted Answer

We know that,

Where,

r = radius of a sphere

and, Volume of cylinder = πr²h

Where r= radius

And π = 3.14

Given: Volume of sphere = Volume of right circular cylinder

Thus,

Multiplying by 2 on both side

(since, diameter D=2r)

Let h be 100%

Thus,

Required difference = 150% - 100% = 50%

Thus, Diameter of a cylinder exceeds its height by 50%