A sphere, a cylinder and a cone have the same radius and same height. Find the ratio of their volumes.

[Hint: Diameter of the sphere is equal to the heights of the cylinder and the cone.]


Given that, a sphere, a cylinder and a cone have the same radius(say r) and same height(say h).


⇒ ∵ they have same height,


⇒ diameter of sphere = height of cylinder


⇒ radius of sphere


⇒ h = 2r


Ratio of their volumes = vol. of sphere : vol. of cylinder : vol. of cone






Multiplying the whole by 3, we get-


⇒ Ratio of their volumes = 4:6:2


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