Physics Atmospheric pressure on Venus is about 90 times that on Earth.?

Question

Atmospheric pressure on Venus is about 90 times that on Earth. A steel sphere with a bulk modulus of 165 GPa has a volume of 2.50 cm3 on Earth. If it were put in a pressure chamber and the pressure were increased to that of Venus (9.12 MPa), how would its volume change (cm3)?

Answer 1

Earth's atmospheric pressure is 0.1 MPa, so the added pressure is 9.02 MPa. The strain caused by this would be stress/modulus = (9.02 x 10^6 Pa) / (165 x 10^9 Pa) = 0.0000547, which I will symbolize with s.

The volume of a sphere is (4/3)pi*r^3, where r is the radius. Use this formula and the given volume of 2.50 cm^3 to find the original radius r. Then use the new radius r(1 - s) to calculate the new volume.