A cylindrical object floats vertically in water and vibrates with a frequency of $0\mathrm{.}25Hz(s^{-1})$ when depressed downward in the water and released. If the cylindrical diameter is $60cm$ and the buoyancy force on the body is equal to the weight of the water displaced by the cylinder in accordance with Archimedes Principle, calculate the weight of the body. Show details of your work.