- 8 Use Cylindrical Coordinates To Find The Volume Of The Cap Of The Solid Sphere R2 Y2 Z2 10 Cut Off By The Plan 1 (41.8 KiB) Viewed 22 times
8. Use cylindrical coordinates to find the volume of the cap of the solid sphere, r2 + y2 + z2 = 10, cut off by the plan
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8. Use cylindrical coordinates to find the volume of the cap of the solid sphere, r2 + y2 + z2 = 10, cut off by the plan
8. Use cylindrical coordinates to find the volume of the cap of the solid sphere, r2 + y2 + z2 = 10, cut off by the plane z = 1 (that is, above the plane z = 1 and below the given sphere). Your answer should include: a) 3D picture (hand drawn) of the shaded volume E. b) Sketch of the shaded region, R, in 2D. Include the equation of the curve. Show your work. c) The triple integral in cylindrical coordinates d) Evaluation of the integral. (Simplify, no decimals)
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