For a constant hydraulic stress on an object,the fractional change in the object's volume $(\Delta V/V)$ and its bulk modulus $(B)$ are related as

$A$ solid sphere of radius $R$ made of a material of bulk modulus $K$ is surrounded by a liquid in a cylindrical container. $A$ massless piston of area $A$ floats on the surface of the liquid. When a mass $m$ is placed on the piston to compress the liquid,the fractional change in the radius of the sphere $\delta R/R$ is

Explain hydraulic stress,volume stress and volume strain.

The bulk modulus of an ideal gas at constant temperature is:

The compressibility of water is $6 \times 10^{-10} \ N^{-1} \ m^2$. If one litre is subjected to a pressure of $4 \times 10^7 \ N \ m^{-2}$,the decrease in its volume is (in $cc$):

$A$ sample of a liquid has an initial volume of $1.5\,L$. The volume is reduced by $0.2\,mL$ when the pressure increases by $140\,kPa$. What is the bulk modulus of the liquid?