Mathematics

Mathematics

Problem

A solid metal sphere of radius 10 cm10\,\text{cm} is melted and recast into identical solid right circular cones, each having a base radius of 2.5 cm2.5\,\text{cm} and a height of 8 cm8\,\text{cm}. Assuming no loss of material, find: (i) the volume of the original sphere, (ii) the volume of one cone, (iii) the number of cones that can be formed.

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