A right circular cone is 8 cm high and the radius of its base is 2 cm – InterviewSolution

1.	A right circular cone is 8 cm high and the radius of its base is 2 cm . The cone is nma sphere. Determine the diameter of the sphere.
Answer» Height of cone, h = 8 cmRadius of cone, r = 2 cmLet radius of sphere be “R” cmSince cone is melted and made into a sphereVolume of sphere = Volume of cone(4/3)πR^3= (1/3)πr^2hThat is, 4R^3= r^2h4R^3= (2)^2x 8R^3= 8 = 2^3Therefore, R = 2Thus diameter of sphere is 4 cm.

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