A parallel$-$plate capacitor has capacitance CC $=12\mathrm{.}5$ pFpF when the volume between the plates is filled with air. The plates are circular, with radius $3\mathrm{.}00$ cmcm$.$ The capacitor is connected to a battery and a charge of magnitude $25\mathrm{.}0$ pCpC goes onto each plate. With the capacitor still connected to the battery, a slab of dielectric is inserted between the plates, completely filling the space between the plates. After the dielectric has been inserted the charge on each plate has magnitude $45\mathrm{.}0$ pCpC$.$