$$\text { Find the surface area generated by rotating the lemniscate } r ^ { 2 } = 10 \cos 2 \theta \text { about the line } \theta = \pi \text {. }$$

Name: \[\text { Find the surface area generated by rotating the lemniscate } r ^ { 2 } = 10 \cos 2 \theta \text { about the line } \theta = \pi \text {. }\]
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The Answer of $$\text { Find the surface area generated by rotating the lemniscate } r ^ { 2 } = 10 \cos 2 \theta \text { about the line } \theta = \pi \text {. }$$