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Find the Volume of the Solid Generated by Revolving the Region

Question 1

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Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.Sketch the region and a representative rectangle. y=16x2,y=0;y = 16 - x ^ { 2 } , y = 0 ; the line x=4x = - 4


A) 256π256 \pi
 Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.Sketch the region and a representative rectangle.  y = 16 - x ^ { 2 } , y = 0 ;  the line  x = - 4  A)   256 \pi    B)   \frac { 1,024 } { 3 } \pi      C)   512 \pi     D)   \frac { 2,048 } { 3 } \pi
B) 1,0243π\frac { 1,024 } { 3 } \pi
 Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.Sketch the region and a representative rectangle.  y = 16 - x ^ { 2 } , y = 0 ;  the line  x = - 4  A)   256 \pi    B)   \frac { 1,024 } { 3 } \pi      C)   512 \pi     D)   \frac { 2,048 } { 3 } \pi


C) 512π512 \pi
 Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.Sketch the region and a representative rectangle.  y = 16 - x ^ { 2 } , y = 0 ;  the line  x = - 4  A)   256 \pi    B)   \frac { 1,024 } { 3 } \pi      C)   512 \pi     D)   \frac { 2,048 } { 3 } \pi

D) 2,0483π\frac { 2,048 } { 3 } \pi
 Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.Sketch the region and a representative rectangle.  y = 16 - x ^ { 2 } , y = 0 ;  the line  x = - 4  A)   256 \pi    B)   \frac { 1,024 } { 3 } \pi      C)   512 \pi     D)   \frac { 2,048 } { 3 } \pi

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