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Height of a tank in the form of an inver...

Height of a tank in the form of an inverted cone is 10 m and radius of its circular base is 2 m. The tank contains water and it is leaking through a hole at its vertex at the rate of `0.02m^(3)//s.` Find the rate at which the water level changes and the rate at which the radius of water surface changes when height of water level is 5 m.

Text Solution

Verified by Experts

The correct Answer is:
`(0.004)/(pi)m//s and (0.02)/(pi)m//s`
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