17-05-2025
Teaser 3268
W-hoops!
The PE game W-hoops! involves throwing inflexible hoops to hook onto a W-shaped frame. The torus-shaped hoops all have the same cross-section but different diameters and fit snugly, in contact, into a storage box. The illustration (not to scale) shows side- and top-views with three hoops, but the box actually contains the maximum possible number of hoops, allowing for a hole at the centre. The internal width of the box is a multiple of its internal depth.
Di preferred maths to PE and after her throws she calculated, using 22/7 for pi, that the total volume of the hoops was over 60 per cent of the internal volume of their box. Knowing this would overstate the value, she then used 3.14 for pi and
