turkey-yks 2016 Q50

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

In the rectangular coordinate plane, the region between the lines $y = - x + 5$, $y = x + 3$ and the coordinate axes is shown below.
What is the volume of the solid of revolution obtained by rotating this region $360 ^ { \circ }$ about the y-axis?
A) $37 \pi$
B) $38 \pi$
C) $40 \pi$
D) $41 \pi$
E) $42 \pi$

In the rectangular coordinate plane, the region between the lines $y = - x + 5$, $y = x + 3$ and the coordinate axes is shown below.

What is the volume of the solid of revolution obtained by rotating this region $360 ^ { \circ }$ about the y-axis?\\
A) $37 \pi$\\
B) $38 \pi$\\
C) $40 \pi$\\
D) $41 \pi$\\
E) $42 \pi$

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