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01-06-2023
Mathematics

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3. Liquid is being poured into the top of a funnel at a steady rate of 200 cm3/s. The funnel in the shape

of an inverted cone with a radius equal to its height. There is has a small hole in the bottom where the

liquid is flowing out at a rate of 20 cm3/s. How fast is the height of the liquid changing when the liquid

in the funnel is 15 cm deep?

At the instant when the height of the liquid is 25cm, the funnel becomes clogged at the bottom and no

more liquid flows out. How fast does the height of the liquid change just after this occurs?

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