A metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.
Volume of a sphere = (4/3)πr3
Volume of a cone = (1/3)πr2h
Given, metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm.
Let the number of cones be ‘n’.
⇒ n × (1/3)π × 3.52 × 3 = (4/3) × π × 10.53
⇒ n = 126