A gymnast does a one$-$arm handstand. The humerus, which is the upper arm bone between the elbow and the shoulder joint, may be approximated as a $0\mathrm{.}33-$m$-$long cylinder with an outer radius of $1\mathrm{.}04$ x $10-2$ m and a hollow inner core with a radius of $3\mathrm{.}6$ x $10-3$ m$.$ Excluding the arm, the mass of the gymnast is $46$ kg$.$ Bone has a compressional Young's modulus of $9\mathrm{.}4$ x $109$ N$/$m$^2.($a$)$ What is the compressional strain of the humerus? $($b$)$ By how much is the humerus compressed?