How do you find the volume of the region enclosed

Summer Bradford

Summer Bradford

Answered question

2022-06-16

How do you find the volume of the region enclosed by the curves y=x, y=-x, and x=1 rotated about y=-1?

Answer & Explanation

timmeraared

timmeraared

Beginner2022-06-17Added 22 answers

Explanation:
The volume of this torus-like solid is
π ( ( 1 + x ) 2 ( 1 x ) 2 ) d x, from x=9 to x=1
= π 2 x d x, for the limits
= π [ x 2 ], between x=0 and x=1
π cubic units.

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