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If a hollow sphere of internal and external diameters 4 cm and 8 cm respectively melted into a cone of base diameter 8 cm, then find the height of the cone. |
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Answer» Volume of a sphere = \(\frac{4}{3}\)πr3 Volume of a right circular cone = \(\frac{1}{3}\)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 ⇒ \(\frac{4}{3}\) x π x (43 - 23) =\(\frac{1}{3}\)π x 42 x h ⇒ h = 14 cm |
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