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Let V Be the Volume of the Solid That Lies y=9x2y = - \sqrt { 9 - x ^ { 2 } }

Question 141

Multiple Choice

Let V be the volume of the solid that lies between planes perpendicular to the x-axis from x = -3 to x = 3. The cross-sections of this solid perpendicular to the x-axis run from y=9x2y = - \sqrt { 9 - x ^ { 2 } } to y=9x2y = \sqrt { 9 - x ^ { 2 } } and they are semicircles with diameters in the xy-plane. Then V is


A) π3\frac { \pi } { 3 }
B) 14π14 \pi
C) 18π18 \pi
D) 7π3\frac { 7 \pi } { 3 }
E) π\pi

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