Farthest distance on cylinder

CMAT 2020 · Quantitative Techniques & Data Interpretation · Easy · Geometry

What is the farthest distance between two points on a cylinder of: HEIGHT 8 and RADIUS 8 ?

  1. A.

    858\sqrt{5}

  2. B.

    16516\sqrt{5}

  3. C.

    828\sqrt{2}

  4. D.

    838\sqrt{3}

Answer

A

Explanation

The farthest distance between two points on a cylinder is the diagonal distance between opposite ends of the cylinder.

Diameter d=2×8=16d = 2 \times 8 = 16. Height h=8h = 8.

Farthest distance = h2+d2=82+162=64+256=320=85\sqrt{h^2 + d^2} = \sqrt{8^2 + 16^2} = \sqrt{64 + 256} = \sqrt{320} = 8\sqrt{5}.

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