A copper sphere of radius 3cm is melted and recast into a right circular cone of height 3cm.find radius of base of cone?
Given radius of sphere = 3cm
Volume of a sphere =`4/3pir^3`
Given sphere is melted and recast into a right circular cone
Given height of circular cone = 3cm.
Volume of right circular cone `=pir^2xx1/3`
Equating 1 and 2 we get
r2 = 36cm
r = 6cm
∴ Radius of base of cone(r) = 6cm