Monsuno5460
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- Aug 29, 2019
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General Slicing Method
- Thread starter Monsuno5460
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- Nov 24, 2012
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Hello, and welcome to FMH! 
For ease of reference, I've resized, rotated and cropped your image, and am attaching as a full image rather than a thumbnail:
An arbitrary element of the solid can be given as:
[MATH]dV=\frac{1}{2}y^2\,dx=\frac{1}{2}\cos(x)\,dx[/MATH]
Hence (utilizing the even function rule):
[MATH]V=2\cdot\frac{1}{2}\int_{0}^{\frac{\pi}{2}} \cos(x)\,dx=\left[\sin(x)\right]_0^{\frac{\pi}{2}}=1[/MATH]
Without seeing your actual work, I can't tell you where you went wrong.
For ease of reference, I've resized, rotated and cropped your image, and am attaching as a full image rather than a thumbnail:
An arbitrary element of the solid can be given as:
[MATH]dV=\frac{1}{2}y^2\,dx=\frac{1}{2}\cos(x)\,dx[/MATH]
Hence (utilizing the even function rule):
[MATH]V=2\cdot\frac{1}{2}\int_{0}^{\frac{\pi}{2}} \cos(x)\,dx=\left[\sin(x)\right]_0^{\frac{\pi}{2}}=1[/MATH]
Without seeing your actual work, I can't tell you where you went wrong.