A spherical solid aluminum ball of radius 0.02 m is
compressed by a force that is applied perpendicularly through out its entire surface area. If its volume changed by 1e-9 m 3, calculate the magnitude of the force?
(modulus = 2.5e10 Pa

Question

A spherical solid aluminum ball of radius 0.02 m is
 compressed by a force that is applied perpendicularly through out its entire surface area. If its volume changed by 1e-9 m 3, calculate the magnitude of the force?
(modulus = 2.5e10 Pa

anonymous · Answer

A volume change of 1 x 10-9 m3 is a linear change in the radius of the cube root of this, 
1 x 10-3 m or the fractional change of 0.05=5%. I believe the modulus relates the fractional change to the applied pressure.