0.27 g of a long chain fatty acid was dissolved in $100 \mathrm{~cm}^3$ of hexane. 10 mL of this solution was added dropwise to the surface of water in a round watch glass. Hexane evaporates and a monolayer is formed. The distance from edge to centre of the watch glass is 10 cm . What is the height of the monolayer?
[Density of fatty acid $\left.=0.9 \mathrm{~g} \mathrm{~cm}^{-3} ; \pi=3\right]$