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electr

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## Homework Statement

A material is formed into a solid sphere and has a diameter of 100mm when at a

pressure of 2MPa. If the diameter of the sphere reduces by 0.1mm when the

pressure is increased to 6MPa, determine the bulk modulus of the material

## Homework Equations

K=− Δp/ΔV/V0 (Δp is pressure change,ΔV is volume change due to pressure,V0 is original volume)

## The Attempt at a Solution

volume of sphere 4/3*pi*r^3

so original volume or V0=4/3*pi.(50x10^-3)^3=5.23 m^3

and the volume with the new diameter and pressure (100mm-0.1mm) is 5.22 m^3

and change in pressure or Δp is 6MPa - 2MPa = 4MPa

so K=- 4X10^6/5.22-5.23/5.23= 2.092 GPa

is this correct or not even close?

thank you in advance