SOLUTION: Find the mass of a ball given by x^(2)+y^(2)+z^(2) <(and equal) a^(2) if the density at any point is proportional to its distance from the z-axis.

Algebra ->  Functions -> SOLUTION: Find the mass of a ball given by x^(2)+y^(2)+z^(2) <(and equal) a^(2) if the density at any point is proportional to its distance from the z-axis.      Log On


   



Question 27802: Find the mass of a ball given by x^(2)+y^(2)+z^(2) <(and equal) a^(2) if the density at any point is proportional to its distance from the z-axis.
Answer by bmauger(101) About Me  (Show Source):
You can put this solution on YOUR website!
Density is only useful in determining a mass if we have an equation for volume (mass = volume * density). Is that what the x%5E%282%29%2By%5E%282%29%2Bz%5E%282%29 is an equation of? It seems this problem needs some missing details or some clarification. What is the inequality an inequality of? What are x, y, z & a representative of (other than denisity is a function of z? Sorry.