Question

A solid sphere of diameter 12cm is melted into hollow cyclinder of uniform thickness. if the external radius of base of cylinder is 4cm and its height is 24cm. , find uniform thickness of cyclinder

Answer 1

Answer:

The radius of the solid sphere = 6cm

The outer radius of the cylinder formed =4cm

The height of the cylinder =72cm

Let the internal radius be x cm

So, Volume of sphere =Volume of cylinder formed

4/3*22/7*6*6*6=22/7*(R^2-r^2)*72

4/3*216=(16-r^2)*72

4=(16-r^2)

r^2=16-4

r^2=12

r = 3.46cm

The uniform thickness is R-r 4-3.46= 0.54cm 0.

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