How Do You Analyze a Charged Shape Described by a Mathematical Function?

[acedeno]

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I honestly I have no Idea as to where I should begin. Any hints on how to get started?

 

[SteamKing]

For part b) if p(x,y,z) were the material density in grams / cc and the surface of the object made out of this material had the equation x^2+y^z = a*z, how would you calculate the total mass of the object? For part b), instead of density, assume p(x,y,z) is the amount of charge over a unit portion of the volume of the object.

 

[acedeno]

For part b) if p(x,y,z) were the material density in grams / cc and the surface of the object made out of this material had the equation x^2+y^z = a*z, how would you calculate the total mass of the object? For part b), instead of density, assume p(x,y,z) is the amount of charge over a unit portion of the volume of the object.

I'm sorry but I'm really not following. I guess I could find mass by using m=(density)(volume) but I'm still uncertain on how to express the volume of this object.

 

[Clever-Name]

Do you recognize:

$$Q = \int_{\mathcal{V}} \rho d\tau^{'}$$

This is the general equation for total charge over a volume with a given charge density