Converting a triple integral among rectangular, cylindrical and spherical coordinates

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Converting a triple integral among rectangular, cylindrical, and spherical coordinates
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Комментарии
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We need to reward STEM more.

They deserve it more than business tycoons.

RossPfeiffer
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Integrating p^2 sin (phi) dp we get
= sin (phi) a^3/3 (0 to a)
Integrating a^3 sin (phi)/3 in terms of theta (0 to 2Pi) is a^3 sin (phi)* 2Pi /3
Integrating in terms of phi (between 0 and pi) we get :
2a^3*2Pi/3
= 4/3 *Pi* a^3

Mediterranean
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Nah I swear that you are watching me cuz you know exactly what I'm studying.

aswinr
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For some reason the phrase "solid angle" jumps into my head. I reckon I must have done something like this 20 years ago, but I'm not sure I fully grasped it, and certainly don't remember it.

martineyles