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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 xz=3x z = 3 in the xzx z -plane about the zz -axis.


A) y2+z2=9x2y ^ { 2 } + z ^ { 2 } = \frac { 9 } { x ^ { 2 } }
B) z2+x2=9y2z ^ { 2 } + x ^ { 2 } = \frac { 9 } { y ^ { 2 } }
C) y2+z2=3x2y ^ { 2 } + z ^ { 2 } = \frac { 3 } { x ^ { 2 } }
D) y2+x2=3zy ^ { 2 } + x ^ { 2 } = \frac { 3 } { z }
E) y2+x2=9z2y ^ { 2 } + x ^ { 2 } = \frac { 9 } { z ^ { 2 } }

Correct Answer:

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