\(\beta=\frac{-P}{\Delta V / V}\)
The formula for the compressibility is,
\(K=\frac{1}{\beta}=-\frac{\Delta V}{V P}\)
Rewrite the above equation.
\(-\Delta V=K P V\)
Substitute the values in the above equation.
\(-\Delta V=\left(6 \times 10^{-10}\right) \times\left(4 \times 10^{7}\right) \times 1\)
\(=24 \times 10^{-3} L\)
\(=24 cc\)