Consider a cuboidal vessel `(2Rxx2RxxR)` with as hemispherical cavity of radius `R`, kept
Channel: Doubtnut
Date: 2020-01-26

Consider a cuboidal vessel `(2Rxx2RxxR)` with as hemispherical cavity of radius `R`, kept at a horizontal smooth surface as shown in the figure. The vessel has very small hole of cross-sectional area \"a\". Now water of density `rho` is poured into space developed due horizontal surface adn vessel through hole very slowly. When the height of waer level is `h`, the vessel lifts off the surface and liquid leaks through space generated. `(R=2m, rho=10^(3)kg//m^(3),m=9pi kg)`. If the value of `h` is `5kcm`, find the value of `k`. (Atmospheric pressure `=10^(5)N//m^(2)`).