Question

504 cones, each of diameter 3.5 cm and height 3 cm are melted and recast into a metallic sphere. Find the diameter og the sphere and it's surface area

Answer 1

volume of 504 cones =volume of sphere
504(1/3× 22/7 × 3.5/2 × 3.5/2 × 3)=22/7×r^3

3 and 3 gets cancel 4 divides 504

126×12.25=r^3

1543.5=r^3

11.55=r

diameter is 23.10cm

now T.S.A of sphere =3×22/7×11.55×11.55
= 1257.75cm^2

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Answer 2

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