The radius and the length of a cylindrical metal are 5.00 cm and 20.00 cm at 25°C, respectively. After it absorbed 9000 J of heat, the temperature raises from 25°C to 85°C and its length expands to 20.02 cm. Then, the cylinder was immersed in water covered with an insulator. The initial temperature of the water was 25°C and it had a mass of 500 g. (Specific heat capacity of water is 4200 Jkg-1°C-1) (Heat loss through the container and cover is negligible.)
Determine the heat capacity of the metal.