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This is best solved by trial-and-error. Since <math>\sin{\frac{\pi}{4}} = \cos{\frac{\pi}{4}}=\frac{\sqrt 2}{2}</math>, that is the solution.
This is best solved by trial-and-error. Since <math>\sin{\frac{\pi}{4}} = \cos{\frac{\pi}{4}}=\frac{\sqrt 2}{2}</math>, that is the solution.
The [[integral]] to find the volume of the solid must therefore be taken from ''x=0'' on one side to <math>x=\frac{\pi}{4}}</math> on the other side.
[[category:mathematics]]
[[category:mathematics]]
[[category:calculus]]
[[category:calculus]]