Answer :

Given: diameter of sphere = 21 cm


radius of sphere = rs = (21/2) cm


Diameter of cone = 3.5 cm


radius of cone = rc = 3.5/2 = 1.75 = (7/4) cm


Height of cone = h = 3 cm


Formula: volume of sphere = (4/3)πrs3


Volume of cone = (1/3)πrc2h


Sphere is melted and then cones are made from molten metal therefore the volume remains same


Let ‘n’ be the number of cones made


i.e. volume of n cones = volume of sphere


n × (1/3) × π × rc2 × h = (4/3) × π × rs3




Therefore number of cones formed = 504


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