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Which of the following integrals correctly computes the volume formed when the region bounded by the curves x2 + y2 = 100, x = 6 and y = 0 is rotated around the y-axis?

a. pi times the integral from 0 to 8 of 6 squared minus the square of the square root of the quantity 100 minus y squared, dy
b. pi times the integral from 0 to 8 of the square of the difference between the square root of the quantity 100 minus y squared and 6, dy
c. pi times the integral from 0 to 8 of the square of the square root of the quantity 100 minus y squared minus 6 squared, dy
d. pi times the integral from 6 to 10 of the square of the square root of the quantity 100 minus x squared, dx

User Dswatik
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1 Answer

23 votes
23 votes
I think the answer it c
User Yaniv Shaked
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