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azamat
3 years ago
8

Use spherical coordinates. let h be a solid hemisphere of radius 1 whose density at any point is proportional to its distance fr

om the center of the base. (let k be the constant of proportionality.) (a) find the mass of h.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
7 0
Whereas the density of the hemisphere at any point is proportional to it's density, then 

 The full answer in attachment, we use the partial integral using the <span>spherical coordinates, 

and we find that </span>the mass of h = <span>πK/2</span>

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