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A metallic solid sphere of radius 10.5 i...

A metallic solid sphere of radius 10.5 is melted and recasted in to smaller solid cones each of radius 3.5 cm and height 3 cm .How many cones will be made?

Text Solution

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Let n cones be recasted from the sphere
Sum of volumes of n cones = volume of sphere
`n[((1)/(3)pi(3.5)^(2)xx3)]=(4)/(3)pi(10.5)^(3)`
`n=(4xx10.5xx10.5xx10.5)/(3.5xx3.5xx3)=126`
Hence 126 cones will be made.
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