Water is running into a conical vessel, ...

Water is running into a conical vessel, 15cm deep and 5cm in radius, at the rate of 0.1 `c m^3//s e c` . When the water is 6cm deep, find at what rate it. the water level rising? the water-surface area increasing? the wetted surface of the vessel increasing?

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The correct Answer is:

(a) `(1)/(40pi)cm//s` (b) `(1)/(30)cm^(2)//s` (c ) `(sqrt(10))/(30)cm^(2)//.`

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (a) (Long Answer Type Questions (II))

Water is running into a conical vessel, 15cm deep and 5cm in radius, a...
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