# Ques. -23

Calculus Level 4

An inverted conical tank of radius $$2m$$ and height $$4m$$ is initially full of water has an outlet at bottom. The outlet is opened at some instant. The rate of flow through the outlet at time $$t$$ is $$(6 \cdot h^{\frac{3}{2}})$$, where $$h$$ is the height of water level above the outlet at time $$t$$. then the time it takes to empty the tank is :

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