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 is the water level rising? the water-surface area increasing? the wetted surface of the vessel increasing?

Explanation

Let v be the volume of water in the cone

Let `CO’=h ,OA’=r ,CA’=1
`


`tanalpha=(OA/CO)=5/15=1/3`


`tanalpha=(OA’)/(CO’)=r/h`


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