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A hollow sphere of internal and external...

A hollow sphere of internal and external radii 6 cm and 8 cm respectively, is melted and recast into small cones of base radius 2 cm and height 8 cm.Find the number of cones.

Text Solution

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Volume of sphere=N*Volume of 1 cone
`4/3pi(R^3-r^3)=N*1/3pir^2h`
`4/3*22/7*(8^3-6^3)=N*1/3*22/7*2^2*8`
`N=37`.
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