The potential (in volts) of a charge distribution is given by $V(z) =30-5z^2$ for $|z| \leq 1\;m$$V(z) =35-10|z|$ for $|z| \geq 1\;m$ $V(z)$ does not depend on x and y .If this potential is generated by a constant charge per unit volume $\rho_0,$ (in units of $\in_0$) which is spread over certain region ,then choose the correct statement

Question

$\begin{array}{1 1}(1) \rho_0=40 \; \in_0 \;in\; the\; entire\; region \\ (2)\rho_0=20 \; \in_0 \;in\; the\; entire\; region\\ (3) \rho_0=20 \; \in_0 \;for\; |z|\; in\;\leq\;m\;and\;\rho_0=0\;else\;where \\ (4) \rho_0=10 \; \in_0 \;for\; |z|\; in\;\leq\;m\;and\;\rho_0=0\;else\;where \end{array}$