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A hemisphere of lead of radius 7cm is cast into a right circular cone of height 49 cm. What would be the radius of base?

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A hemisphere of lead of radius 7cm is cast into a right circular cone of height 49 cm. What would be the radius of base?
posted Apr 7, 2016 by anonymous

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1 Answer

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Vol of hemisphere
=2/3*22/7*r*r*r
=2/3*22/7*7*7*7.......................(i)
now ,
Vol of cone
=1/3*22/7*r*r*h
=1/3*22/7*r*r*49....................(ii)
as both of their volumes would be same,
therefore,
(i)=(ii)
2/3*22/7*7*7*7=1/3*22/7*r*r*49
simplify it,
r=Sqrt14
Ans:Radius of base of cone is Sqrt14 cm

answer Apr 7, 2016 by Jaikumar Bhatia



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