Question

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 soild cones are dropped in it so that they are fully submerged.as a result one third of water in the original cone overflows.what is the volume of each of solid cone submerged?

Answer 1

We have, Height of the cone = 20 cm, diameter = 16.8 cm, radius = 16.8/2 = 8.4 cm. 
Volume of water in bigger cone = 1/3 π r2 h = (1/3)(22/7)(8.4)(8.4)(20) 
= 1478.4 cm3. 
Volume of water overflowed = (1/3)(1478.4) = 492.8 cm3 
Volume of each solid cone = (1/2)(492.8) = 246.4 cm3.

Answer 2

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