As shown in the figure, the height of the cylindrical water tank is 3x and the radius of its base is 5x+3. The cylindrical water tank is leaking at a constant rate of 3\pi x litres per second (where x is a fixed unknown). If the water tank was initially full, calculate the amount of water remaining after \left(2x+2\right)^2 seconds. Give your simplified answer in expanded form.
Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: As shown in the figure, the height of the cylindrical water tank is 3x and the radius of its base is 5x+3. The cylindrical water tank is leaking at a constant rate of 3\pi x litres per second (where x is a fixed unknown). If the water tank was initially full, calculate the amount of water remaining after \left(2x+2\right)^2 seconds. Give your simplified answer in expanded form.
Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: As shown in the figure, the height of the cylindrical water tank is 3x and the radius of its base is 5x+3. The cylindrical water tank is leaking at a constant rate of 3\pi x litres per second (where x is a fixed unknown). If the water tank was initially full, calculate the amount of water remaining after \left(2x+2\right)^2 seconds. Give your simplified answer in expanded form.