A solid metallic sphere of diameter 28cm is melted and recast into a number of smaller cones, each of diameter 14/3 cm and height 3 cm. Find the number of cones so formed.
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hope this may help you
Step-by-step explanation:
if we melt sphere then form number of cone then volume of sphere equal volume of all cones
now
volume of sphere=N.volume of cone
4/3pi. (R)^3=1/3.pi. (r)^2.h
4/3pi (28/2)^3 =N.pi. (14/3)^2.3/3
N={(4x14x14x14)x3}/(14x14)
=168
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