# Do you know Bernoulli's?

A fixed cylindrical tank with a large cross sectional area is filled with two liquids of density $$P$$ and $$2P$$ in equal volume, as shown in the diagram below. A small hole of area $$\sqrt{6}\text{ cm}^2$$ is made at height $$15\text{ m}$$ from the bottom, and we assume that the gravity is $$g=10\text{ m/s}^2$$.

Find
(a) the speed of efflux (in $$\text{SI}$$ units)
(b) the cross sectional area (in $$\text{ cm}^2$$) of the stream of the liquid just before it hits the ground.

Provide your answer as the sum of the values found in (a) and (b).

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