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6. Using Second Theorem of Pappus, calculate the volume of solid of revolution when the area of the ellipse 4x² + 9y² = 36 is revolved about the line x- y- 4 = 0. Hint: The area of the ellipse is A = rab, where a is the length of the semi-major axis and b is the length of the semi-minor axis. y (em) -5 4 4 * (cm)

6. Using Second Theorem of Pappus, calculate the volume of solid of revolution when the area of the ellipse 4x² + 9y² = 36 is revolved about the line x- y- 4 = 0. Hint: The area of the ellipse is A = rab, where a is the length of the semi-major axis and b is the length of the semi-minor axis. y (em) -5 4 4 * (cm)

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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6. Using Second Theorem of Pappus, calculate the volume of solid of revolution when the area of the ellipse 4x² +9y? = 36 is revolved about the line x-y-4=0. Hint: The area of the ellipse is A = rab, where a is the length of the semi-major axis and b is the length of the semi-minor axis. (cm) -5 4 2 4 * (cm) A) 12/27 cm B) 24/27 cm C) 8/2r cm³ D) 6/2r cm
Transcribed Image Text:6. Using Second Theorem of Pappus, calculate the volume of solid of revolution when the area of the ellipse 4x² +9y? = 36 is revolved about the line x-y-4=0. Hint: The area of the ellipse is A = rab, where a is the length of the semi-major axis and b is the length of the semi-minor axis. (cm) -5 4 2 4 * (cm) A) 12/27 cm B) 24/27 cm C) 8/2r cm³ D) 6/2r cm
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