Canny Fraction

What fraction of the volume of this can is filled with lemonade?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



Image
Canny Fraction



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.