A solid nonconducting sphere of radius R = 5.1 cm has a nonuniform charge distribution of volume charge density $\rho$ = (15.0 pC/m³)r/R, where r is radial distance from the sphere's center. (a) What is the sphere's total charge? What is the magnitude E of the electric field at (b) r = 0, (c) r = R/2.0, and (d) r = R?
(a) Number 6.26 Units fC
(b) Number 0 Units mN/C
(c) Number 4.27 Units mN/C
(d) Number 22 Units mN/C