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March 29, 2015

March 29, 2015

Posted by **Mike** on Monday, January 11, 2010 at 7:24pm.

a. Find the area of R.

b. Find the volume of the solid using vertical slices.

c. Find the first moment of area of R with respect to the y-axis. What do you notice about the integral?

d. Find the x coordinate of the centroid of R.

e. A theorem of Pappus states that the volume of a solid of revolution equals the area of the region being rotated times the distance the centroid of the region travels. Show that this problem confirms this theorem.

I was able to do part "a" as the integral from 0 to 2 of x^3 dx. Also I believe part "b" is pi*[3y^(5/3)/5] evaluated from 0 to 2

- Math -
**Writeacher**, Monday, January 11, 2010 at 7:26pmAssistance needed.

Please type your__subject__in the**School Subject**box. Any other words are likely to delay responses from a teacher who knows that subject well.

- Calculus Work -
**Mike**, Monday, January 11, 2010 at 7:28pmSubject added

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