A leak proof cylinder of length \( 1 \mathrm{~m} \), made of a metal which has very low coefficient of expansion is floa…

A leak proof cylinder of length \( 1 \mathrm{~m} \), made of a metal which has very low coefficient of expansion is floating vertically in water at \( 0^{\circ} \mathrm{C} \) such that its height above the water surface is \( 20 \mathrm{~cm} \). When the temperature of water is increased to \( 4^{\circ} \mathrm{C} \), the height of the cylinder above the water surface becomes \( 21 \mathrm{~cm} \). The density of water at \( \mathrm{T}=4^{\circ} \mathrm{C} \), relative to the density at \( \mathrm{T}=0^{\circ} \mathrm{C} \) is close to: