9.5 Define bulk modulus K, and show that the decrease in volume of a fluid under pressure p is pV/K. Hence derive a formula to find the extra fluid which must be pumped into a thin cylinder to raise its pressure by an amount p. How much fluid is required to raise the pressure in a thin cylinder of length 3 m, internal diameter 0.7 m, and wall thickness 12 mm by 0.7 bar (70 kN/m)? E = 210 GN/m2 and v 0.3 for the material of the cylinder and K = 2.1 GN/m? for the fluid. [5.981 x 10-3 m]