A cylindrical capacitor consists of a solid inner conducting core with radius $0\mathrm{.}200$ cmcm$,$ surrounded by an outer hollow conducting tube. The two conductors are separated by air, and the length of the cylinder is $13\mathrm{.}0$ cmcm$.$ The capacitance is $38\mathrm{.}0$ pFpF$.$

Part A

Calculate the inner radius of the hollow tube.

Express your answer in centimeters.

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Part B

When the capacitor is charged to $145$ VV$,$ what is the charge per unit length on the capacitor?

Express your answer in coulombs per meter.