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Question

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively 18 melted into a cone of base diameter 8 cm. The height of the cone is :


Options:
A .  12 cm
B .  14 cm
C .  15 cm
D .  18 cm
Answer: Option B

Volume of material in the sphere = `[ 4/3 pi xx {(4)^3 - (2)^3}] cm^3`

                                                      = ` (4/3 pi xx 56) cm^3`

Let the height of the cone be h cm.

Then , `1/3 pi xx 4 xx 4 xx h = (4/3 pi xx 56)`

`hArr      h = ((4 xx 56)/(4 xx 4))`   = 14 cm.                                                    




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