   Chapter 11.6, Problem 36E

Chapter
Section
Textbook Problem

# Finding an Equation for a Surface of RevolutionIn Exercises 31–36, find an equation for the surface of revolution formed by revolving the curve in the indicated coordinate plane about the given axis. Equation of Curve Coordinate Plane Axis of Revolution z = ln x xz-plane z-axis

To determine

To calculate: For curve to be revolved is z=lnx and its axis of revolution is z-axis find the equation of the surface of revolution.

Explanation

Given:

The curve to be revolved is z=lnx and its axis of revolution is z-axis.

Formula used:

The equation of resulting surface of revolution has one of the forms listed below.

Calculation:

By revolving the graph of z=lnx we get Equation of the surface of revolution

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