It's easy. You need go to the manufacturer's web page of both, cooler and case
After that, compared the wide
size of your case with the high
size of the cooler, plus ~5mm more that add the CPU socket when you install the cooler. So, in your rig:
Case: 213mm with side fan, so, the real space is ~180mm
Cooler: 152mm plus ~5mm when is mounted in the mobo, so, ~160mm
Your case is wide enough for fit the cooler.