Question

The surface area of a solid metallic spear is 616 cm the spear is melted and recast into smaller cones each of diameter 3.5 cm and height 14 cm find the number of such cones formed

Answer 1

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Answer 2

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❇Solution:-

Surface area of the sphere = 4πr²

616 = 4*22/7*r²

r² = (616*7)/88

r² = 4312/88

r² = 49

r = 7 cm

Radius of the sphere is 7 cm

As sphere is melted and recast into a cone then,

Volume of the sphere = Volume of the cone

4/3πr³ = 1/3πr²h

4/3*22/7*7*7 = 1/3*22/7*r²*28

4/3*7*7*7 = 1/3*r²*28

r² = 49

r = 7 cm

So, radius of the cone is 7 cm and diameter = 7*2 = 14 cm

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