A submarine is modeled as a cylinder with a length of 360 ft, a diameter of 50 ft, and a conning tower, as shown in the figure below. The submarine can dive a distance of 50 ft from the floating position in about 30 s. Diving is accomplished by taking water into the ballast tank so the submarine will sink. When the submarine reaches the desired depth, some of the water in the ballast tank is discharged leaving the submarine in "neutral buoyancy" (i.e., it will neither rise nor sink). 3% of cylinder 7% of cylinder volume volume 25 ft Ballast tank Partially submerged position 3 ft 50 ft Y water = 64 lb/ft³ + Totally submerged position Water For the conditions illustrated, find (a) the weight of the submarine and (b) the volume of the water that must be in the ballast tank when the submarine is in neutral buoyancy For

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