A solid metallic cone of base radius 14 cm and height 7 cm is melted and recast into a solid sphere.
Find the radius of the sphere (in cm).

Question

A solid metallic cone of base radius 14 cm and height 7 cm is melted and recast into a solid sphere. Find the radius of the sphere (in cm).

Accepted Answer

7. Cone V = 1/3π*14^2*7 = 1/3π*196*7 = 1372/3 π. Sphere: 4/3π*r^3 = 1372/3 π => 4*r^3 = 1372 => r^3 = 343 => r = 7 cm.

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