Question

A solid metallic sphere of diameter 28cm is melted and recast into a number of molecules each of diameter 42 by 3 cm and height 3 cm find the number of cone so formed

Answer 1

Radius = diameter/2 = 28/2 = 14

Volume of the sphere:

4/3(Pi*r^3) = Volume

4/3(Pi*14^3) = 11,494 This is how much material you have to form cones

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Volume of a cone:

1/3(B*h) B: base and h: height. Since the base is Pi*r^2, we can re-write:

1/3((Pi*r^2)h)

1/3((Pi*14^2)3) = 615.75

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11,494/615.75 = 18.667  

You can make 18 cones and have some left over, 0.667 which is enough for 2/3 of a cone.

Answer 2

Answer:

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