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IKMC 2023 - Grades 11-12 - Set 2 - Self-study Question 29

IKMC · IKMC 2023 - Grades 11-12 - Set 2 - Self-study

Question 29

Two identical cylindrical water tanks contain the same amount of water. One is upright and the other leans against it as pictured, with both water surfaces at the same height. Each circular base has area $3\pi\ \mathrm{m}^2$. How much water is in each tank?

Diagram reading: the tilted tank rests on the table at the lowest point of its bottom disk; its water surface reaches the highest point of that disk, and remains below the opening.

Question illustration
  1. $3\sqrt3\pi\ \mathrm{m}^3$
  2. $6\pi\ \mathrm{m}^3$
  3. $9\pi\ \mathrm{m}^3$
  4. $3\pi/4\ \mathrm{m}^3$
  5. It is impossible to determine from the information given