The circle z + (y – 2a)² = 4a² is rotated about the line y = -1 where a > 0. A torus is obtained from thisrotation. Determine a if the surface area of the obtained torus is 24x?. (Hint: Use Pappus Theorem)a)a = 2b)a = 1c)a = 3d)a = 4e)None

Given the circle x2+y-2a2=4a2 is rotated about the line y=-1. and Surface area =24π2

Answered: The circle a² + (y-2a)²-4a² is rotated…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The circle a² + (y-2a)²-4a² is rotated about the line y=-1 where a > 0. A torus is obtained from this rotation. Determine a if the surface area of the obtained torus is 242. (Hint: Use Pappus Theorem) a)a=2 b)a-1 c)a=3 d)a-4 e) None