Asked by John
find the volume generated when the ellipse x^2/9 + y^2 = 1 is rotated around the line y=5
Answers
Answered by
Steve
easy way: use Theorem of Pappus to get volume
v = Ad
where A is area of ellipse and d is the distance traveled by the centroid.
Area of ellipse = πab = 3π
radius of revolution is 5, so d = 10π
Volume of solid of revolution is 30π^2
v = Ad
where A is area of ellipse and d is the distance traveled by the centroid.
Area of ellipse = πab = 3π
radius of revolution is 5, so d = 10π
Volume of solid of revolution is 30π^2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.