Multiple choice

A right cylinder has radius $5$ and height $5$. If $A$ and $B$ are points on the surface, what is the maximum possible (line) distance between them?

  1. $5$
  2. $5\sqrt{12}$
  3. $10$
  4. $12.5$
  5. $5\sqrt{5}$
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E Correct answer
Explanation

The maximum distance between two points on a cylinder is the diagonal of the rectangle formed by the height and the circumference (if unrolled) or the diameter. Here, height=5, radius=5 (diameter=10). The diagonal is sqrt(10^2 + 5^2) = sqrt(125) = 5*sqrt(5).

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