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Question Number 141856 by rs4089 last updated on 24/May/21

Answered by TheSupreme last updated on 24/May/21

$$x=\rho sin\left(\phi \right)cos\left(\theta \right)$$$$y=\rho sin\left(\phi \right)sin\left(\theta \right)$$$$z=\rho cos\left(\theta \right)$$$$det\mid J\mid ={\rho }^{2}sin\left(\phi \right)$$$$\int \int \int sin\left(\phi \right)d\phi d\theta d\rho =$$$${\int }_0^{\pi }sin\left(\phi \right)d\phi \cdot 2\pi a=4\pi a$$

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