WOLFRAM|DEMONSTRATIONS PROJECT

The Mug That Holds the Most Liquid

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3D model
contour plot
given conditions
volume of mug material
6
mug thickness
0.2
solver
show optimized liquid volume
mug parameters
inner radius
2
inner depth
2
mug style
opacity
color1
handle
liquid style
level
color2
liquid volume shown = 25.10
optimized liquid volume for given conditions = 15.00
An important goal in engineering is to reach maximum function with minimum resources. This Demonstration answers the question: how do you design a cylindrical mug to contain the maximum liquid for a given volume of material?