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Find the Volume of the Described Solid x2+y24x ^ { 2 } + y ^ { 2 } \leq 4

Question 56

Multiple Choice

Find the volume of the described solid.
-The base of the solid is the disk x2+y24x ^ { 2 } + y ^ { 2 } \leq 4 . The cross sections by planes perpendicular to the yy -axis between y=2y = - 2 and y=2y = 2 are isosceles right triangles with one leg in the disk.


A) 643\frac { 64 } { 3 }
B) 163\frac { 16 } { 3 }
C) 803\frac { 80 } { 3 }
D) 1283\frac { 128 } { 3 }

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