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

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1.	4 A right circular cone is 8 cm high and the radius of its base is 2 cm. The cone ismeltedandra sphere. Determine the diameter of the sphere.of lad whose edge measures 44cm
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)πR3= (1/3)πr2hThat is, 4R3= r2h4R3= (2)2x 8R3= 8 = 23Therefore, R = 2Thus diameter of sphere is 4 cm.

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