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Find the Volume of the Solid Generated by Revolving the Region

Question 1

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. x=y2,x=8yy2x = y ^ { 2 } , x = 8 y - y ^ { 2 }
(i) yy -axis; (ii) the line x=18x = 18


A) 1,0243π;1,2803π\frac { 1,024 } { 3 } \pi ; \frac { 1,280 } { 3 } \pi
B) 163π;1283π\frac { 16 } { 3 } \pi ; \frac { 128 } { 3 } \pi
C) 643π;1283π\frac { 64 } { 3 } \pi ; \frac { 128 } { 3 } \pi
D) 643π;1,2803π\frac { 64 } { 3 } \pi ; \frac { 1,280 } { 3 } \pi
E) 163π;1,2803π\frac { 16 } { 3 } \pi ; \frac { 1,280 } { 3 } \pi

Correct Answer:

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