Given the Equation of a Surface of Revolution $x ^ { 2 } + z ^ { 2 } - 3 y = 0 \text {, find the equation of }$

question 87

Multiple Choice

Given the equation of a surface of revolution $x ^ { 2 } + z ^ { 2 } - 3 y = 0 \text {, find the equation of }$ its generating curve in the yz-plane rotating about the y-axis.

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

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