Physics

Problem

A uniform sphere has density

\rho

and radius

R

. The pressure

P

caused by gravitational compression at a distance of

\frac{R}{2}

from the centre is given as

P = \frac{\pi G \rho^p R^q}{r}

where

p

q

, and

r

are integers. The value of

(p+q+r)

is _____.