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JAMB Mathematics 1990 Question 43

Question 43

Mensuration of Solids

If the heights of two circular cylinders are in the ratio 2 : 3 and their base radii are in the ratio 9 : 8, what is the ratio of their volumes?

  1. A.27 : 32
  2. B.27 : 23
  3. C.23 : 32
  4. D.21 : 27
Show the answer and explanation

Answer: A (27 : 32)

Explanation

Volume is πr2h, so the ratio is (92 × 2) : (82 × 3) = 162 : 192 = 27 : 32.