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This is not homework, just my practise question for an exam.
I keep getting an answer of 3/5MR^2 when the correct one is 2/5MR^2, and that was only because I fluked it by deciding to change my intergrand a little bit.
I've some sources including one from hyperphysics which suggests considering the sphere as a stack of disks. I'm completely stumped. I've used double intergrals before, but in this one the integrands I would have never though of using them - how did they get them?
If someone could please run through me how to solve this sphere I would be grateful. No weird short cuts please...
I keep getting an answer of 3/5MR^2 when the correct one is 2/5MR^2, and that was only because I fluked it by deciding to change my intergrand a little bit.
I've some sources including one from hyperphysics which suggests considering the sphere as a stack of disks. I'm completely stumped. I've used double intergrals before, but in this one the integrands I would have never though of using them - how did they get them?
If someone could please run through me how to solve this sphere I would be grateful. No weird short cuts please...