Find the Volume of the Described Solid $x ^ { 2 } + y ^ { 2 } \leq 4$

question 56

Multiple Choice

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

• A) \(\frac { 64 } { 3 }\)
• B) \(\frac { 16 } { 3 }\)
• C) \(\frac { 80 } { 3 }\)
• D) \(\frac { 128 } { 3 }\)

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