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Find the Volume of the Described Solid xx -Axis At x=4x = - 4

Question 3

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Find the volume of the described solid.
-The solid lies between planes perpendicular to the xx -axis at x=4x = - 4 and x=4x = 4 . The cross sections perpendicular to the xx -axis between these planes are squares whose bases run from the semicircle y=16x2y = - \sqrt { 16 - x ^ { 2 } } to the semicircle y=16x2y = \sqrt { 16 - x ^ { 2 } } .


A) 1283\frac { 128 } { 3 }
B) 2563\frac { 256 } { 3 }
C) 5123\frac { 512 } { 3 }
D) 10243\frac { 1024 } { 3 }

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