Will Round For Pi

I'm going to commit so many hated approximations that you might just not like my answer.

$\pi \approx \sqrt{10} \approx 3.14, \; \pi^2 \approx 10$

$\pi^3 \approx 31, \; \pi^4 \approx 97.34$

$\pi^5 + \pi^4 = \pi^4 (\pi + 1) \approx 97.34 \cdot 4.14 \approx \boxed{403}$