A cylinder with a 2cm radius and a height of 10cm is dropped into a tank of water. the tank is 20cm wide and 30cm long. How much does the water level rise after submerging the cylinder in the tank?

1. A cylindrical tank, 1.5m inside diameter has an orifice at its side 0.25m above the bottom. If this tank is placed on a platform 2.75m high and the tank filled with water, the jet coming from the orifice was to reach a point on the ground 6m from the side of the tank. After a time, interval, the jet was to slow down and reach 4.5m only from same reference point. Compute the volume of water discharged from the orifice during the time interval between the two observations. Assume C, for orifices to be 0.97.

2. A tank circular in cross-section is 10m high. It takes 10 mins to empty it through a hole at the bottom when the tank is full of water at the start. How long will it take to drop the the upper óm of water.

A rectangular tank 1.5 m wide, 3 m long and 1.8 m deep contains water to a depth of 1.2 m. Find the horizontal acceleration which may be imparted to the tank in the direction of its length so that (a) there is just no spilling of water from the tank, (b) the front bottom corner of the tank is just exposed, (c) the bottom of the tank is exposed upto its mid-point. Calculate the volume of water that would spill out from the tank in the cases (b) and (c). Also calculate the total forces on each end of the tank in each of these cases and show that the difference between the forces equals the unbalanced force necessary to accelerate the liquid mass in the tank.