A cylindrical water tank has a radius of 4 feet and a height of 10 feet. The tank is filled to the brim with water. A smaller cylindrical container with a radius of 2 feet and a height of 5 feet is used to measure the amount of water to be drawn from the tank. After filling the smaller container, the remaining water in the tank is poured out into a rectangular container, which can hold up to 100 cubic feet.
What is the total volume of water in the rectangular container after the smaller container has been filled?
Use the formula for the volume of a cylinder, which is given by:
$$V = ext{Base Area} imes ext{Height} = ext{π}r^2h$$