SOLUTION: A cylindrical tank standing upright (with one circular base on the ground) has radius 20cm. How fast does the water level in the tank drop when the water is being drained at 25cm33

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Question 1083190: A cylindrical tank standing upright (with one circular base on the ground) has radius 20cm. How fast does the water level in the tank drop when the water is being drained at 25cm33/sec?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What is the height of 25 cm3 in the tank?
Let +h+ = the height in cm
Let +r+ = the radius of the base
+V+=+pi%2Ar%5E2%2Ah+
+pi%2Ar%5E2%2Ah+=+25+
+h+=+25%2F%28+pi%2Ar%5E2+%29+
+h+=+25%2F%28+pi%2A20%5E2+%29+
+h+=+%28+25%2F400+%29%2Api+
+h+=+pi%2F16+
+h+=+.196+
The level in the tank drops at he
rate of .196 cm/sec
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check the math & get another opinion if needed