## Related questions with answers

Question

Let D be the region bounded below by the plane z = 0, above by the sphere

$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4,$

and on the sides by the cylinder

$x ^ { 2 } + y ^ { 2 } = 1.$

Set up the triple integrals in cylindrical coordinates that give the volume of D using the following orders of integration.

$d z\ d r\ d \theta$

Solution

VerifiedAnswered 9 months ago

Answered 9 months ago

Step 1

1 of 3Graph the region $D$ bounded below by the plane $z=0$, above by the sphere $x^2+y^2+z^2=4$ and on the sides by the cylinder $x^2+y^2=1$.

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