# 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