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Home Multiple Integrals Infinite Sum Theorem and Volume Examples Example 3  
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Example 3
Find the volume of the solid bounded by the plane z = 2y and the paraboloid z = 1  2x^{2}  y^{2}. Figure 12.3.8 (a): Surfaces Figure 12.3.8. (b): Region D
Figure 12.3.9 Answer: V = √2π.


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