![Fill Me Up Too](/sites/default/files/styles/medium/public/thumbnails/content-id-7499-icon.jpg?itok=tBCBnfqy)
problem
Fill Me Up Too
In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
![Gutter](/sites/default/files/styles/medium/public/thumbnails/content-id-5673-icon.jpg?itok=OF1ia8c1)
problem
Gutter
Manufacturers need to minimise the amount of material used to make
their product. What is the best cross-section for a gutter?
![Immersion](/sites/default/files/styles/medium/public/thumbnails/content-id-6439-icon.gif?itok=1Ef_dxXY)
problem
Immersion
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
![Funnel](/sites/default/files/styles/medium/public/thumbnails/content-id-5890-icon.png?itok=RyYhWbEa)
problem
Funnel
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 ?