This problem gives students the opportunity to use volume scale factors of enlargement to work out the relationship between the volume and the height of a cone.
Manufacturers need to minimise the amount of material used to make
their product. What is the best cross-section for a gutter?
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
A plastic funnel is used to pour liquids through narrow apertures.
What shape funnel would use the least amount of plastic to
manufacture for any specific volume ?