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Question

# A conical vessel of height 10ft and semivertical angle is full of water. If empties in such away that the height at the water in the vessel is decreasing at a constant rate of 1ft/min. Then the rate at which the volume of water in the vessel is decreasing when its height is 6ft. is

Hint:

**Rate of change of volume with respect to time ( ) = **

## The correct answer is:

Given :

We know that, tan =

tan =

Volume of conical vessel (V) =

V =

Differentiating the above wrt to time

Thus, the rate at which the volume of water in the vessel is decreasing when its height is 6ft. is

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