Spherical charge density distribution is given by

\(ρ_v=ρ_{v_0}\left(1-\frac{r^2}{a^2}\right)\); r < a

ρ_v = 0; r > a

The value of total charge and maximum value of E will be

i) 0, \(\frac{4}{15}\pi\rho_{v_0}a\)

ii) 0, 0.745 a

iii) \(\frac{8}{15}\pi\rho_{v_0}a^3\), 0.745 a

iv) \(\frac{4}{15}\pi\rho_{v_0}a^3\), 0.745 a²