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)
• \[y ^ { 2 } + z ^ { 2 } = \frac { x ^ { 2 } } { 25 }\]

---

Definitions:

Debris

Refers to the remains of something that has been destroyed or broken up.

Assignment

The transfer of rights, responsibilities, or interests from one party to another.

Lawsuit

A legal case brought to court by one party against another seeking a judgment or resolution.

Disposal

The act of getting rid of something, especially by throwing it away or by sale.