Use a triple integral in spherical coordinates to find the volume of the unit ball. (Write the details) Hint: On may use the definition of the ball in spherical coordinates: 0 ? ? ? 1, 0 ? ? ? 2?, 0 ? ? ? ?.
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Recall that the volume element in spherical coordinates is given by: $$dV = \rho^2 \sin{\phi} d\rho d\phi d\theta$$ Now, we need to set up the limits of integration. Since we are finding the volume of the unit ball, we have: - $\rho$ ranges from 0 to 1 (the Show more…
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