In a cylindrical container open to the atmosphere from the top,a liquid is filled up to a $10\, m$ depth. The density of the liquid varies with depth $h$ from the surface as $\rho(h) = 100 + 6h^2$,where $h$ is in meters and $\rho$ is in $kg/m^3$. The pressure at the bottom of the container will be: (Atmospheric pressure $P_0 = 10^5\, Pa$,$g = 10\, m/s^2$)

  • A
    $1.7 \times 10^5\, Pa$
  • B
    $1.4 \times 10^5\, Pa$
  • C
    $1.6 \times 10^5\, Pa$
  • D
    $1.3 \times 10^5\, Pa$

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