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

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

Question 29

Two identical cylindrical glasses contain equal water volumes. One is upright; the other leans against it as shown. The water surfaces are at the same height, and in the leaning glass the surface touches its bottom at exactly one point. Each base has area $3\pi\ \mathrm{cm}^2$. What is the water volume in each glass?

Question illustration
  1. $9\pi\ \mathrm{cm}^3$
  2. $6\pi\ \mathrm{cm}^3$
  3. $3\sqrt3\pi\ \mathrm{cm}^3$
  4. $3\pi/4\ \mathrm{cm}^3$
  5. It cannot be uniquely determined