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"An infinitely long cylinder of radius a in free space is charged with a volume charge density p(r)=p0(a-r)/a where (0<=r<=a), where p0 is a constant and r the radial distance from the cylinder axis. Find the charge per unit length of the cylinder."

Q = ∫ p dv

My attempt:

dv = ∏(r^2)h dr

∫0 to a ( p0(a-r)/a) h∏r^2 dr

After integrating I get

Q = p0∏h * (a^3)/12

Could someone please confirm if this looks correct?

Thanks!