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Australian AMC 2009 - Intermediate Question 20

AMC AUSTRALIA · Australian AMC 2009 - Intermediate

Question 20

A circular bottle with dimensions, in centimetres, is shown partially filled with water (figure 1).

Question illustration

The bottle is sealed and then turned upside down (figure 2). The height $h$, in centimetres, of the air in the upturned bottle is
  1. $2$
  2. $2\frac13$
  3. $2\frac7{25}$
  4. $2\frac15$
  5. $2\frac3{25}$