turkey-yks 2013 Q50

turkey-yks · Other · lys1-math Volumes of Revolution Volume of Revolution about a Horizontal Axis (Evaluate)

In the analytic plane; the region bounded by the x-axis, the line $x + y = 2$, and the curve $y = \sqrt { x }$ is rotated $360 ^ { \circ }$ around the x-axis.
What is the volume of the solid of revolution obtained in cubic units?
A) $\frac { \pi } { 2 }$
B) $\frac { 2 \pi } { 3 }$
C) $\frac { 3 \pi } { 4 }$
D) $\frac { 5 \pi } { 6 }$
E) $\frac { 7 \pi } { 6 }$

In the analytic plane; the region bounded by the x-axis, the line $x + y = 2$, and the curve $y = \sqrt { x }$ is rotated $360 ^ { \circ }$ around the x-axis.

What is the volume of the solid of revolution obtained in cubic units?\\
A) $\frac { \pi } { 2 }$\\
B) $\frac { 2 \pi } { 3 }$\\
C) $\frac { 3 \pi } { 4 }$\\
D) $\frac { 5 \pi } { 6 }$\\
E) $\frac { 7 \pi } { 6 }$

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