wax cylinder of diameter 21cm and height 21 cm is chipped off and shaped to form a cone of maximum volume.the chipped off wax is recast into a solis sphere.find thediameter of the sphere..

Given, diameter of wax cylinder = 21 cm

∴ radius of wax cylinder

and Height of cylinder = 21 cm

A cone of maximum volume can be chipped off only when the height and diameter of the cone is equivalent to height and diameter of cylinder.

Now, the wax remained after chipping off cone is recast to form a sphere.

∴ Volume of cylinder = Volume of cone + volume of sphere

On putting respective values, we get

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