Find the Volume of the Described Solid $x$ -Axis At $x = - 6$

question 128

Multiple Choice

Find the volume of the described solid.
-The solid lies between planes perpendicular to the $x$ -axis at $x = - 6$ and $x = 6$ . The cross sections perpendicular to the $x$ -axis are semicircles whose diameters run from $y = - \sqrt { 36 - x ^ { 2 } }$ to $y = \sqrt { 36 - x ^ { 2 } }$ .

• A) \(144 \pi\)
• B) \(288 \pi\)
• C) \(72 \pi\)
• D) \(576 \pi\)