A container shaped like a right circular cylinder has a diameter 12 cm and height 15 cm, is full of ice-cream. The ice-cream is to be filled into 10 equal cones having a hemispherical shape on the top. If the height of the cone is 4 times its radius, then find the height of the cone.

Explanation

`h=4r`

Volume of icecream in 1 cone= volume of hemisphere+ volume of cone

`= (2/3pir^3) + (1/3pir^2h)`
=`(2/3pir^3)+ (1/3pir^2(4r))`
=`2pir^3`

Since, Volume of container= 10*volume of icecream
`piR^2H= 10*(2pir^3)`
`6^2*15=10*(2r^3)`
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