The Floating Ice Cube · AI Generator #GEN-84284880

Physics · fluid-mechanics

Problem

A cylindrical ice cube with radius

r = 2.0\;\text{cm}

and height

h = 3.0\;\text{cm}

floats in a glass of water. The density of ice is

\rho_{\text{ice}} = 917\;\text{kg/m}^3

and the density of water is

\rho_{\text{water}} = 1000\;\text{kg/m}^3

. When the ice cube reaches equilibrium, what fraction of its volume remains above the water surface?