Question

A solid cylinder of diameter 12cmand height 15cm is melted and recast into toys with the shape of a right circular cone mounted on a hemisphere of radius 3cm. If the height of the toy is 12cm, find the number of toys so formed.

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Answer 1

Answer:

Let the number of toys formed be 'n', then

n× vol. of each toy=vol. of cylinder

⇒n×[

3

1

π×3

2

×9+

3

2

π×3

3

]=π×6

2

×15

⇒n×

3

π

[81+54]=π×36×15

⇒n=

135

36×15×3

=12