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A solid metal sphere has radius 14 cm. It is melted to form small cones of radius 1.75 cm and height 3.5 cm. How many small cones will be obtained from the sphere?

A solid metal sphere has radius 14 cm. It is melted to form small cones of radius 1.75 cm and height 3.5 cm. How many small cones will be obtained from the sphere? Correct Answer 1024

Suppose ‘n’ number of cones can be formed after melting the sphere.

 ⇒ 4/3π143 = n × 1/3π(1.75)2 × 3.5

⇒ 10976 = n × 10.71875

⇒ n = 1024

∴ Number of cones = 1024

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