Find an Equation for the Surface of Revolution Generated by Revolving

question 64

Multiple Choice

Find an equation for the surface of revolution generated by revolving the curve $x z = 3$ in the $x z$ -plane about the $z$ -axis.

• A) \(y ^ { 2 } + z ^ { 2 } = \frac { 9 } { x ^ { 2 } }\)
• B) \(z ^ { 2 } + x ^ { 2 } = \frac { 9 } { y ^ { 2 } }\)
• C)\(y ^ { 2 } + z ^ { 2 } = \frac { 3 } { x ^ { 2 } }\)
• D)\(y ^ { 2 } + x ^ { 2 } = \frac { 3 } { z }\)
• E)\(y ^ { 2 } + x ^ { 2 } = \frac { 9 } { z ^ { 2 } }\)

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