Find average density of the sphere of radius 𝑎 whose density at a distance𝑟 from the centre of the sphere is 𝜌 = 𝜌0 [1 + 𝑘 𝑟3𝑎3
Question
Solution 1
To find the average density of the sphere, we need to integrate the density function over the entire volume of the sphere and then divide by the total volume.
Step 1: Determine the volume of the sphere. The volume of a sphere with radius 𝑎 is given by the formula V = (4/3)π𝑎^3.
Step 2: Set up the Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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