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) About Me  (Show Source):
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Volume of metal available for cone = %284%2F3%29%2Api%2A%28r1%5E3-r2%5E3%29
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