# Finding the volume of unbounded solids of revolution

Not what you're looking for?

(a) Find the volume of the unbounded solid generated by rotating the unbounded region of y=e^(-x) with x>=1 around the x axis (see the attached figure)

(b) What happens if y=1/sqrt(x) instead?

##### Purchase this Solution

##### Solution Summary

Rotating a bounded portion of the x axis of a graph about the x axis yields "Solids of Revolution". Integration can be used to find the volume of the solids so formed. When the x region is not bounded, we can still perform the rotation to give an *unbounded* solid of revolution. We can attempt to find a volume for this object by first finding the volume of the bounded object in terms of the right hand bound, then trying to take the limit as the right hand bound goes to infinity. This limit may or may not exist. The solution comprises a 1/2 page word attachment with equations written in Mathtype showing two examples of this technique, 1 for which the volume exists and one for which it does not. Step by step explanation is given.

##### Solution Preview

The solution is attached.

The volume of the solid of revolution obtained by ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.