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Canny Fraction

Age 14 to 16
ShortChallenge Level Yellow starYellow star
Secondary curriculum
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End and side view of can with lemonade


A cylinder can contains lemonade, shown shaded on the diagram in which XY is diameter. What fraction of the volume of the can is filled with lemonade:

just below a quarter; just over a quarter; exactly a quarter?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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