# physics

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Object I is a solid cylinder with diameter d has resistance R. What would be resistance of another object made of the same material and with the same mass as Object I but has the cross section shown below (it is a hollow cylinder with outer diameter 2d and inner diameter d).
R/9
9R
R
R/3
3R

• physics -

R=ρL/A
R =4ρL/πd²
R₁ =4ρL/ (π4d²- πd²) =4ρL/ 3πd²
R₁=R/3

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