Find the area of the surface obtained by rotating the circle $x ^ { 2 } + y ^ { 2 } = 5 ^ { 2 }$ about the line $y = 5$.
A) $75 \pi ^ { 2 }$
B) $25 \pi ^ { 2 }$
C) $175 \pi ^ { 2 }$
D) $100 \pi ^ { 2 }$
E) $50 \pi ^ { 2 }$

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The Answer of Find the area of the surface obtained by rotating the circle $x ^ { 2 } + y ^ { 2 } = 5 ^ { 2 }$ about the line $y = 5$.
A) $75 \pi ^ { 2 }$
B) $25 \pi ^ { 2 }$
C) $175 \pi ^ { 2 }$
D) $100 \pi ^ { 2 }$
E) $50 \pi ^ { 2 }$

Find the Area of the Surface Obtained by Rotating the Circle