1.

The height of the water - level when the water of a right circular cone - shaped bottle of radius r unit and of height h unit is poured into a right circular cylinder shaped pot of radius mr unit will beA. `h/2m^(2)` unitB. `(2h)/m` unitC. `h/(3m^(2))` unitD. `m/(2h)` unit

Answer» Correct Answer - C
The radius of the conical bottle = r unit and height = h unit
` :. ` the volume of the bottle ` = 1/3 pi^(2) h ` cubic - unit
Again , the radius of the cylindrical pot = mr unit
` :. ` the volume of the water poured into the pot ` = pi xx (mr)^(2) xx x` cubic - unit
` :. pi (mr)^(2) x = 1/3 r^(2) h `
` rArr m^(2) r^(2) x = (r^(2)h)/3`
` rArr x = h/(3m^(2))`
` :. ` the water - level of the pot will rise `h/(3m^(2))` unit .


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