A cylindrical water tank has a radius of 3 meters and a height of 5 meters. To ensure proper mixing of the water, the tank must be filled to a height of 4 meters. Calculate the volume of water that the tank currently contains (in cubic meters).
Use the formula for the volume of a cylinder given by: $$ V = ext{base area} imes ext{height} $$, where the base area can be calculated using the formula for the area of a circle: $$ A = ext{radius}^2 imes ext{π} $$. Round your final answer to two decimal places if necessary.