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Problem:

Find the volume of the solid:

y = 2 - x/2 bounded by y = 0, x = 1, x = 2.

Answer: 19pi/12.... I already know how to get the answer but....

what if wanted to use horizontal rec? For instance If I am using the vertical rec... the radius would be y = 2 - x/2... but if I use the horizontal rec would the radius be x = 2(2 - y) ? I tryed this value and integrated from y = 0 to y = 3/2... but did not get the correct answer....

Is it not possible to get the correct answer using horiz. rec?

Find the volume of the solid:

y = 2 - x/2 bounded by y = 0, x = 1, x = 2.

Answer: 19pi/12.... I already know how to get the answer but....

what if wanted to use horizontal rec? For instance If I am using the vertical rec... the radius would be y = 2 - x/2... but if I use the horizontal rec would the radius be x = 2(2 - y) ? I tryed this value and integrated from y = 0 to y = 3/2... but did not get the correct answer....

Is it not possible to get the correct answer using horiz. rec?