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Volume of Enclosed by Paraboloid and Cylinder

MVCALC-GCWBIJ

Find the volume of the solid that lies under the paraboloid $z = 4-x^2-y^2$, above the $xy$-plane and insider the cylinder $(x-1)^2+y^2=1.$

A

$\cfrac{5\pi}{2}$

B

$\cfrac{3\pi}{2}$

C

$\cfrac{\pi}{2}$

D

$\cfrac{2\pi}{3}$

E

$\cfrac{5\pi}{3}$