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Change from rectangular to cylindrical coordinates

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Change from rectangular to cylindrical coordinates. (Let r ≥ 0 and 0 ≤ θ ≤ 2π.)

(a)    

(−2, 2, 2)

B)

(-9,9sqrt(3),6)

C)

Use cylindrical coordinates.

Evaluate

	x dV
E

,

where E is enclosed by the planes z = 0 and

z = x + y + 10

and by the cylinders

x² + y² = 16 and x² + y² = 36.

D)

Use cylindrical coordinates.

Find the volume of the solid that is enclosed by the cone

z =

x2 + y2

and the sphere

x² + y² + z² = 8.