Electrostatics Problem: Find E Field and R

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Homework Statement


The problem is attached as an image.

Homework Equations



R=integral(rho*D/A)
I guess that there is more...

The Attempt at a Solution



I got stuck stright on A), for I don't have a clue what to do with such a weird Rho value.
Afterwords when we want to find E field - can't we just say E=v0/D ?
 

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Choose a starting radius,the angle r(instead of theta) is the angle in the cos term,divide the cylinder into different anglular elements of angle dr,each of these has an area 1/2*a*a*dr and a length D,Each on has a resistance of rho*D/Area where the formula for rho in terms of angle is given,,all such elements are connected in parallel,take the reciprocal and integrate r from 0 to 2pi,then reciprocate the answer to get the restistance.