Question

A metallic sphere of radius 10.5 cm is melted and then recast into small cones,each of radius 3.5 cm and height 3 cm.Find how many cones are obtained.

Answer 1

A/Q

we just need to get volume of sphere/ volume of cone

volume of sphere = 4/3 π r cube

= 4/3 X 22/7 X 10.5 X 10.5 X 10.5
= 4851 CM cube

volume of cone = 1/3 π r square h

= 1/3 X 22/7 X 3.5 X 3.5 X 3

= 38.5 CM cube

no. of cone=volume of sphere/volume of cone

no. of cone = 4851/38.5

no. of cone = 126

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Answer 2

The number of cones so formed is 126.