Find an Equation of the Surface of Revolution Generated by Revolving

question 39

Multiple Choice

Find an equation of the surface of revolution generated by revolving the curve given below in the indicated coordinate plane about the given axis. $\begin{array}{|c|c|c|}\hline \text { Equation of Curve } & \text { Coordinate Plane } & \text { Axis of Revolution } \\\hline z=5 x & x z \text {-plane } & z \text {-axis } \\\hline\end{array}$

• A)
• \[x ^ { 2 } + y ^ { 2 } = \frac { z } { 5 }\]
• B)
• \[x ^ { 2 } + z ^ { 2 } = \frac { y ^ { 2 } } { 25 }\]
• C)
• \[x ^ { 2 } + y ^ { 2 } = \frac { z ^ { 2 } } { 5 }\]
• D)
• \[x ^ { 2 } + y ^ { 2 } = \frac { z ^ { 2 } } { 25 }\]
• E)
• \[y ^ { 2 } + z ^ { 2 } = \frac { x ^ { 2 } } { 25 }\]

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