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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