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Q53Section C (Section C)53 of 60

Volume of a truncated ellipsoid

Let VV be the volume of the region {(x,y,z)∈R3:x2+y2+z24≤1 and ∣z∣≤1}.\bigl\{(x,y,z)\in\mathbb{R}^3:x^2+y^2+\tfrac{z^2}{4}\le 1\text{ and }|z|\le 1\bigr\}. Then Vπ\dfrac{V}{\pi} is equal to __________ (round off to 2 decimal places)

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