A spherical cannonball 28 cm in diameter is melted and cast into a right circular cone mould, whose base is 35 cm in diameter. Find the height of the cone.

Explanation

Radius of cannon ball `=14 cm`
Volume of cannon ball`=4/3xxpixxr^3`
Radius of conical mould`= 35/2cm`
Volume of conical mould`=1/3xxpixxr^2xxh`

Since material of cannon ball is used to make right circular mould.
Volume of sphere=volume of cone
`4/3xxpixxr^3=1/3xxpixxr^2xxh`
`4xx14xx14xx14= 35/2xx35/2xxh`
`h=(4xx2xx2xx14xx14xx14)/(35xx35)`
`h=35.84cm`
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