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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

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

Advanced Engineering Mathematics
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 z + (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 24x?. (Hint: Use Pappus Theorem) a)a = 2 b)a = 1 c)a = 3 d)a = 4 e)None
Transcribed Image Text:The circle z + (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 24x?. (Hint: Use Pappus Theorem) a)a = 2 b)a = 1 c)a = 3 d)a = 4 e)None
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