- #1
sushifan
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1. The region bounded by the given curves is rotated about the specific axis. Find the volume of the resulting solid by any method (disc or shell).
2. x^2 + (y-1)^2 = 1
3. This is my first time posting up a homework question, so I apologize if I didn't get the notation down correctly or something.
I tried shells and ended up with ∏ as my answer. (I hope that's a pi symbol.)
V= 2(2∏radius)(width) I doubled the circumference to get the whole circle rather than just having the semi-circle.
V = 4∏ ∫y sqrt[ 1- (y-1)^2] dy on [0,2]
2. x^2 + (y-1)^2 = 1
3. This is my first time posting up a homework question, so I apologize if I didn't get the notation down correctly or something.
I tried shells and ended up with ∏ as my answer. (I hope that's a pi symbol.)
V= 2(2∏radius)(width) I doubled the circumference to get the whole circle rather than just having the semi-circle.
V = 4∏ ∫y sqrt[ 1- (y-1)^2] dy on [0,2]
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