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confusion with triple integral...

Please consider the Integral[r^2Sin[x]drdxdy] with limits as follows:
[0,2Pi]for y, [0,ArcCos[1/4]] for x and [0,1/Cos[x]] for r.  Mathematica returns
27Pi, which is correct.  But, if instead of using ArcCos[1/4], I use either
ArcCos[0.25] or ArcCos[1/4]//N in the limits, Mathematica returns 43Pi.  Any idea

Bradley Stoll
San Jose, CA

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