Multiple choice

Capacity of a cylindrical vessel is 25.872 litre. If the height of the cylinder is three times the radius of its base, what is the area of the base in (cm^2)?

  1. $616 \(cm^2\)$
  2. $256 \(cm^2\)$
  3. $343 \(cm^2\)$
  4. $475 \(cm^2\)$
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A Correct answer
Explanation

Volume = πr²h = 25872 cm³ (converting litres). Given h = 3r, we have πr²(3r) = 25872. Using π ≈ 22/7 and solving, r² = 196, so base area = πr² = 22/7 × 196 = 616 cm². The key is relating height to radius.

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