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# CBSE Class 12-science Answered

Look at the conical funnel whose vertical angle is 90o. Water is dripping out from it at uniformly at the rate of 8 cm3/sec through a tiny hole at the vertex.  Find the rate at which the slant height of the water is decreasing when the slant height of the water is 4cm. Is leaking of water leads to wastage of water? Do you think we can afford to waste our natural resources?
Asked by Topperlearning User | 05 Aug, 2014, 01:35: PM
Expert Answer

Let V be the volume of the Water at time 't'.

Then, where 'r' and 'h' are the radius and height respectively.  From the figure it is clear

Therefore the volume is

Differentiating with respect to t we get

Now we are given

Therefore,

When the slant height is 4cm

Slant height is decreasing at the rate of

Yes, leaking of water leads to wastage of water. We must do everything possible to save our natural resources.

Answered by | 05 Aug, 2014, 03:35: PM

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