In a cylindrical container open to the atmosphere from the top a liquid is filled upto $10\,\, m$ depth. Density of the liquid varies with depth from the surface as $\rho (h) = 100 + 6h^2$ where $h$ is in meter and $\rho$ is in $kg/m^3.$ The pressure at the bottom of the container will be : $($ atmosphere pressure $= 10^5\,\, Pa, \,g = 10\, m/sec^2)$

  • A

    $1.7 × 10^5\,\, Pa$

  • B

    $1.4 × 10^5\,\, Pa$

  • C

    $1.6 × 10^5\,\, Pa$

  • D

    $1.3 × 10^5\,\, Pa$

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