Leaky funnel

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An inverted funnel of base radius \( r = 8 cm\) and height \(H = 15 cm\) is placed on a smooth horizontal table and is being filled with a liquid of density \(0.96 gm/cm^{3}\). It is seen that the liquid starts leaking out from the bottom of the funnel when the height of the liquid is \( \frac{3}{4}\) times the height of the conical part of the funnel i.e. \( h= \frac{3H}{4}\).

If the mass of the funnel is m (in kg), then find \(\lfloor m \rfloor\).

(\( \lfloor x \rfloor\) denotes the greatest integer less than or equal to \(x\))

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