Chapter 6, Problem 6.24P

A potential field in free space is given in spherical coordinates as $V\left(r\right)=\{{}_{\left(a^3{p}_0\right)/\left(3{\in }_{0}r\right)\left(r\le a\right)}^{[p_0/\left(6{\in }_0\right)][3a^2-r^2]\left(r\le a\right)}$

where p₀ and are a constants. (a) Use Poissor’s equation to find the volume charge density everywhere, (b) Find the total charge present.