Question
A hemisphere of load of radius 6 cm is cast into a right circular cone of height 76 cm . The radius of the base of the cone is :
Answer: Option C
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Let the radius of the cone be R cm . Then ,
`1/3 pi xx R^2 xx 75 = 2/3 pi xx 6 xx 6 xx 6 xx 6`
`hArr R^2 = ((2 xx 6 xx 6 xx 6)/(75)) = (144/25)`
`hArr R^2 = (12/5)^2`
`hArr R = 12/5` cm = 2.4 cm.
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