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
JEE MAIN 2020, Medium
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