Determine whether a cylinder of radius 4 in, height 10 in, and weight 15 lb. can float in a deep pool of water of weight density 62.5 lb/ft3.

Determine whether a cylinder of radius 4 in, height 10 in, and weight 15 lb. can float in a deep pool of water of weight density 62.5 lb/ft3. Let h denote the length ( in feet) of the submerged portion of the cylinder at equilibrium. With r = 1/3 ft. Please give a summary of how this works, so I can understand it. Thank you, James.