Answer to Question #287297 in Mechanical Engineering for george2000

Question

A metal cube(faces 20 mm+-0.1mm) fully sinks into a glass full of water. The diameter of the glass is 60 mm+-0,2 mm.Calculate the water rise level and its cumulative error.

Answer 1

$$y=\dfrac{4a^3}{\pi d^2}=\dfrac{4·20^3}{\pi ·60^2}=2.8\text{ mm},\\\space\\ \Delta y=0.1+0.2=0.3 \text{ mm}.$$