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If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is
Volume of a sphere = (4/3)πr3
Volume of a solid cone = (1/3)πr2h
Given, solid sphere of radius r is melted and cast into the shape of a solid cone of height r
Let the base radius be A.
⇒ (4/3)πr3 = (1/3)π × A2 × r
⇒ A = 2r