A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is
Height of cone, h = 8.4cm
Radius of base, r = 2.1cm
Thus volume of a cone = ![]()
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Now when it is melted to form a sphere, say of radius r1 cm, the volumes of both are going to be equal.
Volume of sphere![]()
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Or ![]()
Or ![]()
Or ![]()
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Thus the radius of the sphere is 2.1cm which is option b.