self-answering problem

galactus

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This recently won grand prize for best self-answering problem:

"At time t=0, water begins pouring into an empty tank so that the volume of water is changing at a rate \(\displaystyle V'(t)=sec^{2}t.\)
For time t=k, where \(\displaystyle 0<k<\frac{{\pi}}{2}\), determine the amount of water in the tank"

Just thought you'd find it interesting.
 
Note the emboldened tank. That's the answer....tan(k).
 
Wow... I never would have caught on. Clever ;)
 
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