Q. 75.0( 2 Votes )

Answer :

Given: diameter of sphere = 21 cm

∴ radius of sphere = r_{s} = (21/2) cm

Diameter of cone = 3.5 cm

∴ radius of cone = r_{c} = 3.5/2 = 1.75 = (7/4) cm

Height of cone = h = 3 cm

Formula: volume of sphere = (4/3)πr_{s}^{3}

Volume of cone = (1/3)πr_{c}^{2}h

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 × r_{c}^{2} × h = (4/3) × π × r_{s}^{3}

Therefore number of cones formed = 504

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