Consider the following. the volume of the solid that lies within both

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Consider the following. the volume of the solid that lies within both the cylinder x2 + y2 = 16 and the sphere x2 + y2 + z2 = 81 Using cylindrical coordinates, write an integral that can be evaluated to find the volume V of the given solid. (Choose 0 < A ≤ 2π. Choose 0 < B.) V = ∫0 A ∫0 B ∫ −81 − r2 81 − r2 ( )dz dr dθ A = B = Find the volume.

Consider the following. the volume of the solid that lies within both the cylinder x2 + y2 = 16 and the sphere x2 + y2 + z2 = 81 Using cylindrical coordinates, write an integral that can be evaluated to find the volume V of the given solid. (Choose 0 < A ≤ 2π. Choose 0 < B.) V = ∫0 A ∫0 B ∫ −81 − r2 81 − r2 ( )dz dr dθ A = B = Find the volume.

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Consider the following. the volume of the solid that lies within both the cylinder

x^{2} + y^{2} = 16

and the sphere

x^{2} + y^{2} + z^{2} = 81

Using cylindrical coordinates, write an integral that can be evaluated to find the volume

V

of the given solid. (Choose

0 < A \leq 2 π

. Choose

0 < B

.)

\begin{array}{l} V = \int_{0}^{A} \int_{0}^{B} \int_{- \sqrt{81 - r^{2}}}^{\sqrt{81 - r^{2}}} (◻) d z d r d θ \\ A = ◻ \\ B = ◻ \end{array}

Find the volume.

◻

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