In a large vat that is initially empty, a solid aluminum cylinder hangs by an ideal spring. The cylinder is \(52.5 \mathrm{~mm}\) long and \(30.0 \mathrm{~mm}\) in diameter, and the spring is stretched \(42.0 \mathrm{~mm}\). The vat is then filled with a liquid, submerging the cylinder and causing it to rise \(11.8 \mathrm{~mm}\). What is the mass density of the liquid? The mass density of aluminum is \(2700 \mathrm{~kg} / \mathrm{m}^{3}\).