Find the volume of the solid generated when the region bounded by $\displaystyle {y}=\sqrt{{\frac{{1}}{{{x}{\left({5}-{x}\right)}}}}}$ , $\displaystyle {y}={0}$ , $\displaystyle {x}={2}$ , and $\displaystyle {x}={4}$ is revolved about the x-axis.

1. The exact volume is Preview Question 6 Part 1 of 2  
2. The approximate volume, to four decimal places, is Preview Question 6 Part 2 of 2  

Be sure to use an integration technique like partial fractions or trigonometric substitution.