A cylindrical water tank has a radius of 3 meters and a height of 7 meters. The tank is initially filled to a height of 5 meters. Water is being pumped into the tank at a rate of 2 cubic meters per hour.
Calculate the number of hours it will take to fill the tank to its maximum capacity.
Use $$V = ext{base area} imes ext{height}$$ where the base area of the cylinder is given by $$A = ext{radius}^2 imes ext{π}$$.