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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)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 29E
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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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