the line x = 4, Locate the centroid of the resulting solid of revolution in 500 words

The centroid of a solid of revolution can be determined using the formula C = (π/A) ∫ xydA, where A is the cross-sectional area and dA is an elemental area. We first need to determine the bounds for our integral which will be between 0 and 4 according to the problem description. Now we must calculate the cross-sectional area of this region in order to solve for C. Since we are revolving about the line x = 4, all points on this boundary will have y = 0. Thus, integrating from y = 0 to y = 4 gives us A = π∫0x2dx4 , so that A= 32π . Therefore, our centroid equation becomes:

C=(1/32π)∫xydAdy0x24dy

To solve this integral we use integration by parts with u=xy and dv= dy:

du=dyxdx+2y

dv=dy

Therefore, ∫udvydy0x24dy=([xy]40+2∫22y2dx)-(30+(2∫21)()*12*3)=60+8π =>C=(1/32π)(60+8π)= 5/6

Therefore,the centroid of the resulting solid of revolution is located at (5/6 ,0).

The price is based on these factors:

Academic level

Number of pages

Urgency

Homework Services

- Chemistry Homework Help
- Engineering Assigment Help
- Physics Homework Help
- Science Homework Help
- Computer Science Homework Help

More Services

- Biology Homework Help
- Information Systems Homework Help
- Civil Engineering Homework Help
- Electronics Assignment Help
- Data science Homework Help

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more