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Consider the radiation heat exchange inside an annulus between two very long concentric cylinders. The radius of the outer cylinder is $R_o$ and that of the inner cylinder is $R_i$ . The radiation view factor of the outer cylinder onto itself is

  1. $1-\sqrt{\dfrac{R_i}{R_o}}\\$
  2. $\sqrt{1-\dfrac{R_i}{R_o}} \\$
  3. $1-\dfrac{R_i}{R_o}^{1/3} \\$
  4. $1-\dfrac{R_i}{R_o}$
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