A conical water tank with its vertex at bottom has radius 20m and depth 20m.Water is being pumped into the tank at rate 40m^3/min.how fast is the level of the water rising when water is 8m deep? ( v=(pi x r² x h)/3 )
1 Answer
Jul 12, 2018
The level is rising at the rate of
Explanation:
The volume of water in the tank is
The volumetric flow is
In the cone
Therefore,
Differentiating wrt
Plugging in the values