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Question
A hollow metallic sphere with external diameter 8 cm and internal diameter 4 cm is melted and moulded into a cone having base radius 4 cm. The height of the cone is
(a) 12 cm (b) 14 cm (c) 15 cm (d) 18 cm
A hollow metallic sphere with external diameter 8 cm and internal diameter 4 cm is melted and moulded into a cone having base radius 4 cm. The height of the cone is
(a) 12 cm (b) 14 cm (c) 15 cm (d) 18 cm
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Solution
internal diameter of hollow sphere is 4 cm.
internal radius of hollow sphere r = 4/2= 2 cm
external diameter of hollow sphere is 8 cm.
external radius of hollow sphere R = 8/2= 4 cm.
volume of the metal =
radius of the cone 
= 4 cm
let the height of the cone be h cm.
volume of the cone = volume of the metal
therefore the height of the cone is 14 cm.
internal diameter of hollow sphere is 4 cm.
internal radius of hollow sphere r = 4/2= 2 cm
external diameter of hollow sphere is 8 cm.
external radius of hollow sphere R = 8/2= 4 cm.
volume of the metal =
radius of the cone = 4 cm
let the height of the cone be h cm.
volume of the cone = volume of the metal
therefore the height of the cone is 14 cm.
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