Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.

(a) about y = 3

(b) about x = 3

I dont know at all what im doing. my teacher is horrible.

Question

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.

(a) about y = 3

(b) about x = 3

I dont know at all what im doing. my teacher is horrible.

anonymous · Answer

x^2+9y^2=9

irishboy123 · Answer

|dw:1447103927106:dw|


cool question, these are toroids, i believe.

i'll happily have a crack at this tomorrow.  in the meantime, i can summons some others: @freckles @SithsAndGiggles 

who come on about now or a bit later.......

or @Michele_Laino !!!

anonymous · Answer

For the revolution about $y=3$ the washer method is superior to the shell method.

Here's a sketch of the region (as much as I'd like to use something pre-drawn, I need some vertical breathing room ;) )|dw:1447114141446:dw|