SOLUTION: A hollow metallic sphere of internal and external diameter 4 cm and 8 cm respectively is melted to form a solid cone of base diameter 8 cm . find the height of the cone
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Question 1027968: A hollow metallic sphere of internal and external diameter 4 cm and 8 cm respectively is melted to form a solid cone of base diameter 8 cm . find the height of the cone Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Volume of metal available for cone =
where r1= 4 and r2=2 cm (radii)
4^3-2^3= 56
V = (4/3) *pi *56
V cone = 1/3 pi r^2 h
=(1/3) *pi *4^2*h
Equate the volumes to get h
(4/3) *pi *56 =(1/3) *pi *4^2*h
56=4h
h=14 cm