# revolving

1. ### find the area of surface generated by revolving the are about y axis

the question is x = (e^t)(cos t ) , y = (e^t)(sin t ) , about y axis , where y = between 0 and 1 i have problem of finding the value of t when 1 = (e^t)(cos t ) and also 0 = (e^t)(cos t ) , since the integral cant be integrate so i let is as I . how to continue form my working ?
2. ### find the area of surface generated by revolving the curve about y -axis

i am stucked here , how to continue ?
3. ### Finding volume by revolving about the x-axis

The correct answer is 1940.57 but I got 3382.90. I keep rechecking my work but I can't find any mistake. What did I do wrong?
4. ### Finding volume by revolving about the y-axis

The correct answer is 81pi but I got 8.81pi. Where did I go wrong?
5. ### Finding volume of solid generated by revolving about the y-axis

I'm a little confused about this particular problem. What do they mean by "above the parabola", "below the x-axis", and "on the right by the line x=3"? Please click on the image for the question and also my work. The correct answer is highlighted in yellow and my answer is boxed green. Thanks!
6. ### Volume of a revolving solid...

I don't feel very confident with this concept. (Worried) Suppose R is the region bounded by y = x2, x = 2, and y = 0 1) Find the volume of a solid that is generated by revolving R about the x-axis. - I believe I did this one correctly, but I want to be sure. I got 32pi/5. 2) (same) ...
7. ### Volume after revolving an equation around the x=2?

For my calc class my professor sent out (yet another) online practice quiz (only for participation points) and I don't know what to do for this question. He never explained it. He tends to have more time assigning things than he does explaining them :( Can you help?
8. ### Can't integrate the surface area of revolving curve the normal way

Here's the problem I was given: Find the area of the surface generated by revolving the curve x=\frac{e^y + e^{-y} }{2} from 0 \leq y \leq ln(2) about the y-axis. I tried the normal route first... g(y) = x = \frac{1}{2} (e^y + e^{-y}) g'(y) = dx/dy = \frac{1}{2} (e^y - e^{-y}) S =...
9. ### Finding Volume of a Torus by revolving a disk.

Ok everyone, new to the forum here. I just started taking Calc 2 (online) after graduating 8 years ago. Taking it to apply for master's in physics, so I really need a good grasp here. So I'm a little rusty and it's hard to get help in an online class. Anyways, I've been doing well with...
10. ### Find the equation for the surface of revolution by revolving

Find the equation for the surface of revolution by revolving 2z = \sqrt {4- x^2} about the x- axis Okay, this is far as i can get z = \frac {\sqrt {4- x^2}} {2} What should i do to solve this?
11. ### Physics Problem: stationary bead relative to a revolving wire

I have been working on this problem for hours. I have been working on it on Google Docs with another user on this site for a while: https://docs.google.com/drawings/d/1E9BcXxo1ZLs65Py9dsADYzpgoMCBPPoBsQvre0Z6feA/edit The problem: A small bead with a mass of 100g slides without friction along...
12. ### arc length - are of the zone of a sphere by revolving about the y

I have a problem where i dont understand how the solutions manual is doing the steps. Problem: Find the area of the zone of a sphere formed by revolving the graph of y = \sqrt 9 - x^2 , 0< x < 2 about the y axis. so, y = \sqrt 9 - x^2 then, sorry the square root suppose to go over the...
13. ### revolving credit card.

the card has an annual percentage rate of 15% last months balance on the card was $423.78. During the month purchases totaled$123.43. a payment of \$100 was paid. using the "unpaid balance method" what is the finance charge and what will be the the current balance. well for the finace...
14. ### volumes of solids generated by revolving

solids generated by revolving The region in the first quadrant bounded by the curve x = sqrt(4-y) and revolved about the y-axis the region bounded b the curve y = 8/x^3 and the lines x=1 and y =1 , revolved about the x axis and y axis please show the steps.... i need to learn this
15. ### Volume Revolving Solids From Area Between Curves

I'm working on trying to get a 3D ellipsoid from the area bounded by two curves. To get this curve, I am reflecting the parabola y = -x^2 + x + 2 over the x-axis to get y = x^2 - x - 2. This gives me an area bounded on the x-interval (-1, 2). So when I set up my bounds function, I get Bounds =...
16. ### Area of revolving function

A metal ring is designed by revolving the region between the graphs of y=x^2 and y=x^(1/3) about the line y=3 where x and y are in cm. If the material the ring is made from weighs 10 grams per cubic cm, what is the weight of the ring? I set the two functions equal to each function and found the...
17. ### Find the surface area generated by revolving the curve

Need help on finding the surface area generated by revolving the curve y=square root of 25-x^2 around the X-axis for -3 ≤ x ≤ 4 Thank you
18. ### volume of revolving solid

Hi! I am having some trouble with this one. Any help you can give would be great! Thanks! Find the volume of the solid generated by revolving about the -axis the region bounded by the upper half of the ellipse and the -axis, and thus find the volume of a prolate spheroid. Here and...
19. ### Finding Revolving Volumes

I've been able to calculate a lot of my homework involving finding the volume of a revolving function around either the x or y axis. However, this one seemed to pose a challenge for me. Find the volume of the solid formed by rotating the region enclosed by about the -axis. If anyone could...
20. ### Volume - revolving solid

I am having difficulty with this question. Would someone be able to detail the steps involved in doing this question. If someone could also provide an intuitive tutorial source related to this question that would be great (book i'm using isn't so useful). Find the volume of the solid obtained...