Multiple choice

Four times the area of the curved surface of a cylinder is equal to 6 times the sum of the areas of its bases. If its height is 12 cm, then its volume, in cm3, is

  1. $48p$
  2. $384p$
  3. $546p$
  4. $768p$

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For a cylinder with radius r and height h: curved surface area = 2πrh, and area of each base = πr². Given 4(2πrh) = 6(2πr²), we get 8πrh = 12πr², so 2h = 3r, giving r = 8 when h = 12. Volume = πr²h = π(64)(12) = 768π.

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