coffee is draining from a conical filter of height n diameter 15cm into a cylinderical coffee pot of diameter 15 cm. the rate at which coffee drains from the filter into the pot is 100 cm/min. the rate in cm/min at which the level in the pot is rising at the instant when the coffee in the pot is 10cm, is?

The rate at which the level in the pot is increasing can be found out as, So V=πr2h=π×1522×hSo dVdt=π×2254×dhdtHere it is given that dVdt=100cm3/min100=14π×225×dhdtSo dhdt=400225π=169πcm/min

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