Question: Remmber that the mass of a solid E is obtained by the frmula Sody where p is the mass desity function and du is the


Remmber that the mass of a solid E is obtained by the frmula Sody where p is the mass desity function and du is the volume Mtrential. Find the mass of a ball of radious Rif the mass density is proportional to the product of distance to the origin multiplied by the Square of the distance on an equatonal plane. Make a drawing that illustrates what is happening. Note that a] A ball is a solid whose edge B a sphere 6] An equational plane is any phance that contains the center of the sphere. convenient to find a coordinate system that make the tasth easier. By example the center of the ball can be placed at the ongin. And equatorial plane? c] It Remember that the mass of a solid E is achieved by the formula See du where p is the mass density function and dV is the volume differential. Find the mass of a ball of radius R if the mass density is proportional to the product of the distance to the origin multiplied by the square of the distance to an equatorial plane. Make a drawing that illustrates what is happening. Note that: (i) A ball is a solid whose edge is a sphere. (ii) An equatorial plane is any plane that contains the center of the sphere. (iii) It is convenient to find a coordinate system that makes the task easier. For example the center of the ball can be placed at the origin. And the equatorial plane
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