Question

A solid metallic sphere of diameter 28cm is melted and recast into a number of smaller cones each of diameter 4 2/3 and height 3cm. Find the number of cones so formed

Answer 1

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