Recent content by progressive

Your derivation is very interesting! I hope someday I can get to this level of derivation- I've only just completed the BC track and will be entering multivariable calc next semester. Thank you for you help, on both forums!

Thank you very much! I look forward to your derivation!

I'm actually working on this as we speak, and realized, of course, that my formula was not correct. However, I decided to go back to spherical sectors. If you look at the 1st image http://mathworld.wolfram.com/SphericalSector.html" , imagine that the initial line was the line going directly...

Hello, I've just found a book which mentions the formula for calculating the volume of a rotated polar function: \int_{\theta_1}^{\theta_2} \frac{2}{3} \pi r^3 sin(\theta) d\theta How does one calculate this? In an https://www.physicsforums.com/showthread.php?t=457896", I calculated that the...

Hello again, I forget to say that the integral I mention above does not calculate the correct volume e.g. for a circle r=1. It gives a volume of 2pi, when it should be 4/3 pi. Thanks again for any help you can offer!

Hello, I was wondering if anyone could help me with deriving the volume created by the rotation of a polar equation around the initial line. So, I thought about adding the surface area of cones (multiplied by d\theta) if each cone the triangle created with s-length of f(\theta) and r-length...