A cylindrical glass of height 5cm and diameter 1.5 cm is lying horizontally in a large tank filled with water to height 3cm. The wall have negligible thickness. Now the glass is slowly raised from open end as shown.
It is finally made to stand on its base. The mass of glass is negligible. $ρ_{water} = 1000 kg/ m^{3}$

Question

A cylindrical glass of height 5cm and diameter 1.5 cm is lying horizontally in a large tank filled with water to height 3cm. The wall have negligible thickness. Now the glass is slowly raised from open end as shown.

CT58 question 8 source diagram 1

It is finally made to stand on its base. The mass of glass is negligible. $ρ_{water} = 1000 kg/ m^{3}$

CT58 question 8 source diagram 2

TestHub · Accepted Answer

Fraction filled: 5 3 ​ + 5 1 ​ = 5 4 ​ So 20% is empty. The base supports the weight of a 1 cm column of water: N = ρ g A Δ h A = π ( 0.0075 m ) 2 Δ h = 0.01 m N = 1600 9 π ​ N

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