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- 天同Lv 75 years agoFavorite Answer
(i) Volume of box = (pi x 0.5^2) x 0.4 m^3 = 0.3142 m^3

Weight of box = 0.3142 x 900g N = 2827 N

[Take g, the acceleration due to gravity, to be 10 m/s^2]

(ii) Upthrust = 2827 N

Mass of water displaced = 2827/g kg = 282.7 kg

Volume of water displaced = 282.7/1000 m^3 = 0.2827 m^3

Hence, h = 0.2827/(pi x 0.5^2) m = 0.3599 m

(iii) Pressure = 0.3599 x 1000g N/m^2 = 3599 N/m^2

(iv) Upthrust when box is totally immersed

= 0.3142 x 1000g N = 3142 N

Hence, force required = (3142 - 2827) N = 315 N

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