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Question

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm the height of the cone is :


Options:
A .  2 cm
B .  3 cm
C .  4 cm
D .  6 cm
Answer: Option B

Let the height of the cone be h cm. .Then ,

`1/3 pi xx 6 xx 6 xx h = 4/3 pi xx 3 xx 3 xx 3`

`rArr   h = ((36 xx 3)/(36))`

`rArr    h = 3 cm.`



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