The potential (in volts) of a charge distribution is given by V (z)=30-5 z^2 for |z| ≤ 1 m; V (z)=35-10|z| for |z| ≥ 1 m. V (z) does not depend on x…

The potential (in volts) of a charge distribution is given by $$\begin{aligned} & \mathrm{V}(z)=30-5 z^2 \text { for }|z| \leqslant 1 \mathrm{~m} \\ & \mathrm{~V}(z)=35-10|z| \text { for }|z| \geqslant 1 \mathrm{~m} . \end{aligned} $$ $\displaystyle \mathrm{V}(z)$ does not depend on $\displaystyle x$ and $\displaystyle y$. If this potential is generated by a constant charge per unit volume $\displaystyle \rho_0$ (in units of $\displaystyle \epsilon_0$ ) which is spread over a certain region, then choose the correct statement.