The Mug That Holds the Most Liquid

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?