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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The volume of the solid in the first octant bounded by the cylinder $z=9-y^2$ and the plane $x=2$ is
Solution
First octant: $0\le x\le 2$, $0\le y\le 3$, $0\le z\le 9-y^2$
$V=\int_{0}^{2}\!\!dx\int_{0}^{3}(9-y^2)\,dy=2\left[9y-\frac{y^3}{3}\right]_{0}^{3}=2(27-9)=36$
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