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      Question

      Each of the measure of the radius of base of a

      cone and that of a sphere is 8 cm. Also, the volumes of these two solids are equal. The slant height of the cone is: (a) `8sqrt17cm` (b) `4sqrt17cm` (c) `34sqrt2cm` (d) 34 cm.
      A (a) Correct Answer Incorrect Answer
      B (b) Correct Answer Incorrect Answer
      C (c) Correct Answer Incorrect Answer
      D (d) Correct Answer Incorrect Answer

      Solution

      Volume of sphere Volume of cone = `4/3pixx8^3` Volume of cone = [if gte vml 1]> [if !vml]-->`1/3pir^2h` [endif]--> `1/3xxpixx8xx8xxh = 4/3pixx8^3` [if gte vml 1]> [if !vml]-->`=>h=32cm` `Slant height = sqrt (h^2+r^2)` ` = sqrt(32^2+8^2) = sqrt(1024+64)` ` = sqrt(64(16+1)) = 8sqrt17cm`

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