Calc 3 question

* [Challenge] A cylindrical can with radius R and height H is partially lled with water. If we ll it with the perfect amount of water, we can get the can to balance on its edge at a 45 angle, so that it only touches the nayplane in a single point. How much water should we use? (There are actually two amounts of water which will do this; nd the larger of the two amounts.) Assume that the water has constant density and no momentum. Also assume that the can itself is innitely thin and weightless