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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 |
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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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