(Solved): The water tank, shown in the figure, has a circular plug with a diameter of D ...

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The water tank, shown in the figure, has a circular plug with a diameter of $$D=6.90\mathrm{cm}$$. The plug is placed at a sloping wall, at an angle of $$?=29.89$$ degrees, on the right-hand side of the container. The plug will be thrown away if the hydrostatic force that it supports attains or exceeds $$30\mathrm{N}$$. Determine the maximum height $$\mathrm{H}$$ (in $$\mathrm{m}$$ ), of the water in the tank, that the plug can support. Consider that the density of water is $${?}_{\text{water }}=1000\mathrm{kg}/{\mathrm{m}}^3$$.