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18. Extra Credit: The surface S is the part of the sphere x2+y2+z2=a2 that lies inside the cylinder x4+a2(y2−x2)=0. Sket
Posted: Wed Jul 13, 2022 5:08 am
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- 18 Extra Credit The Surface S Is The Part Of The Sphere X2 Y2 Z2 A2 That Lies Inside The Cylinder X4 A2 Y2 X2 0 Sket 1 (88.03 KiB) Viewed 31 times
18. Extra Credit: The surface S is the part of the sphere x2+y2+z2=a2 that lies inside the cylinder x4+a2(y2−x2)=0. Sketch it and show that its area equals 2a2(π−2). HINT: Use cylindrical coordinates and take into account that S is symmetric with respect to both the xz - and yz-planes. Also, at some appropriate time(s) use the formula 1+tan2θ= cos2θ1