Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified lines.
Y = (1/16)(x^2) x = 5 y = 0
About the y-axis
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I did pi R ^2 - pi r ^2 in the integrals from 0 to 1.5625 and got 61.35923, but that's said to be wrong.
My R = (5)
my r = (sqrt16y)
Y = (1/16)(x^2) x = 5 y = 0
About the y-axis
--- --- ---
I did pi R ^2 - pi r ^2 in the integrals from 0 to 1.5625 and got 61.35923, but that's said to be wrong.
My R = (5)
my r = (sqrt16y)
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Gee, I got 19.53125 using your same R and r, respectively 5 and √(16y).
The 25y -8y² evaluated (y=0 to 25/16) should give the answer.
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Sorry, forgot to mult by π. I got EXACTLY your answer. I (tentatively)
think it's right.
The 25y -8y² evaluated (y=0 to 25/16) should give the answer.
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Sorry, forgot to mult by π. I got EXACTLY your answer. I (tentatively)
think it's right.