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

question 144

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 $\mathrm { x }$ -axis are circular disks whose diameters run from the parabola $y = x ^ { 2 }$ to the parabola $y = 32 - x ^ { 2 }$ .

• A) \(\frac { 256 } { 3 } \pi\)
• B) \(\frac { 8192 } { 5 } \pi\)
• C) \(\frac { 16384 } { 15 } \pi\)
• D) \(\frac { 8192 } { 15 } \pi\)

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