SOLUTION: A cylindrical tank, with the circular base on the ground, of radius 10 meters, and a height of 20 meters, is filling with water at a rate of 10 cubic meters per second. What is the

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Question 1034350: A cylindrical tank, with the circular base on the ground, of radius 10 meters, and a height of 20 meters, is filling with water at a rate of 10 cubic meters per second. What is the rate of change of the height of the water when the height is 10 meters?
Found 2 solutions by ikleyn, Gogonati:
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
A cylindrical tank, with the circular base on the ground, of radius 10 meters, and a height of 20 meters,
is filling with water at a rate of 10 cubic meters per second.
What is the rate of change of the height of the water when the height is 10 meters?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Simply divide the rate of 10  by the area of the cross-section of the cylindrical tank:

 =  = .

The height of the tank is an excessive data in this problem. 
It is not relevant neither the solution nor the answer.


Answer by Gogonati(855)   (Show Source): You can put this solution on YOUR website!
What is when h=10m. Since and
, since we get
and . The rate of change of the height is .
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