Solve the Problem $4 x ^ { 2 } + 25 y ^ { 2 } = 100$

question 351

Multiple Choice

Solve the problem.
-Find the volume of the solid generated by revolving the region enclosed by the ellipse $4 x ^ { 2 } + 25 y ^ { 2 } = 100$ about the $x$ -axis.

• A) \(4 \pi ^ { 2 }\)
• B) \(\frac { 160 \pi } { 3 }\)
• C) \(\frac { 80 \pi } { 3 }\)
• D) \(\frac { 40 \pi } { 3 }\)

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