The nonuniform volume charge density inside a positively charged solid nonconducting sphere of radius \(R\) is \(ho(r)=ho_{0} r / R\), where \(r\) is the radial distance from the sphere center.

(a) Calculate the electric field as a function of \(r\) for \(rR\). Repeat for volume charge densities of

(b) \(ho(r)=ho_{0}\left(1-\frac{1}{2} R / r\right)\)

(c) \(ho(r)=\) \(ho_{0}(1-R / r)\).