The region under the curve $y = 6 \sin ^ { 2 } x , 0 \leq x \leq \pi$ is rotated about the $x$-axis. Find the volume of the resulting solid.

Name: The region under the curve $y = 6 \sin ^ { 2 } x , 0 \leq x \leq \pi$ is rotated about the $x$-axis. Find the volume of the resulting solid.
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The Answer of The region under the curve $y = 6 \sin ^ { 2 } x , 0 \leq x \leq \pi$ is rotated about the $x$-axis. Find the volume of the resulting solid.

The Region Under the Curve y=6sin⁡2x,0≤x≤πy = 6 \sin ^ { 2 } x , 0 \leq x \leq \piy=6sin2x,0≤x≤π

The Region Under the Curve $y = 6 \sin ^ { 2 } x , 0 \leq x \leq \pi$