Find an Equation for the Surface Obtained by Rotating the Parabola

question 126

Multiple Choice

Find an equation for the surface obtained by rotating the parabola $y = 3 x ^ { 2 }$ about the $y$ -axis.

• A) \(z ^ { 2 } - 3 x ^ { 2 } - y ^ { 2 } = 1\)
• B) \(y ^ { 2 } + 3 x ^ { 2 } = z\)
• C) \(z ^ { 2 } - 3 x ^ { 2 } = y\)
• D) \(3 z ^ { 2 } + 3 x ^ { 2 } = y\)
• E) \(z ^ { 2 } + 3 x ^ { 2 } + y ^ { 2 } = 1\)

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