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If a hollow sphere of internal and external diamaters 4 cm and 8 cm respectively melted into a cone of base diameter 8 cm, then find the height of the cone.
Volume of a sphere = (4/3)πr3
Volume of a cone = (1/3)πr2h
Given, diameter of the internal and external surfaces of a hollow spherical shell are 4 cm and 8 cm respectively. It is melted into a cone of base diameter 8 cm.
⇒ Volume of material in sphere = Volume of the cone
⇒ h = 14 cm