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

question 234

Multiple Choice

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

• A) \(\frac { 128 } { 3 }\)
• B) \(\frac { 256 } { 3 }\)
• C) \(\frac { 512 } { 3 }\)
• D) \(\frac { 1024 } { 3 }\)

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