A solid metallic hemisphere of diameter
21 cm is melted and recast into a number
of smaller cones, each of diameter 7 cm
and height 9 cm. Find the number of
cones so formed.
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Answer:
vol. of hemisphere = 2/3 πr 3
2/3π10.5^3=771.75π
vol. of Cone=1/3πr 2h
= 1/3πx3.5^2 x 9 =36.75π
No. of Cones --771.75π/36.75π = 21
21 Nos. Ans
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