A vessel in the form of an inverted cone is filled with water to the brim:

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asked Mar 18 in Class X Maths by aditya23 (-1,396 points)

A vessel in the form of an inverted cone is filled with water to the brim: Its height is 20 cm and diameter is 16.8 cm. Two equal solid cones are dropped in its so that they are fully submerged. As a result, one third of the water in the original cone overflows. What is the volume of each of the solid cones submerged ?

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1 Answer

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answered Mar 18 by priya12 (-11,659 points)

Height = 20 cm, diameter = 16.8 cm  or radius = 16.8/2 = 8.4 cm

Volume of water in bigger cone  = 1/3πr2h

 = 1/3 × 22/7 × 8.4 × 8.4 × 20

= 1478.4 cm3

Volume of water overflows when two equal cone is submerged = 1/3 × 1478.4

= 492.8 cm3

∴  Volume of two equal cones = 492.8

So volume of each cone = ½ × 492.8

= 246.4 cm

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