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Figure 11 shows a test- tube whose cross-sectional area is 2`cm^2` partially filled with lead shot floating vertically in water.
(Take gravitational acceleration as 10`ms^-2` and density of water 𝜌w, as 1 g`cm^-3`)

(a) (i) Determine the:
I volume of the water displaced
II weight of the water displaced
(ii) State the combined weight of the test-tube and the lead shot
(iii) Determine the length of the test-tube that would be submerged in a liquid of the density 0.8`gcm^-3`.
(b) The set up in figure 11 can be used as hydrometer to measure densities of liquids. State how such a hydrometer would be improved to measure
small differences in densities of liquids