Express the volume of the solid that the cylinder r=9cos⁡θ cuts out of the sphere of radius 9 centered at the origin with a triple integral in cylindrical coordinates. 02 Volume = 2 dz dr do...


 Express the volume of the solid that the cylinder r=9cos⁡θ cuts out of the sphere of radius 9 centered at the origin with a triple integral in cylindrical coordinates.


02<br>Volume =<br>2 dz dr do<br>-sqrt(81-r^2)<br>sqrt(81-r^2)<br>Σ<br>Σ<br>r2 = 9cos(th)<br>Σ<br>O, =<br>-pi/2<br>Σ<br>02 = pi/2<br>Evaluate the integral<br>Volume =<br>Σ<br>M M M M M M<br>

Extracted text: 02 Volume = 2 dz dr do -sqrt(81-r^2) sqrt(81-r^2) Σ Σ r2 = 9cos(th) Σ O, = -pi/2 Σ 02 = pi/2 Evaluate the integral Volume = Σ M M M M M M

Jun 09, 2022
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