# 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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