Try the fastest way to create flashcards
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

Verified
Step 1
1 of 3

Graph 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 $x^2+y^2=1$. ## Recommended textbook solutions #### Thomas' Calculus

14th EditionISBN: 9780134438986 (11 more)Christopher E Heil, Joel R. Hass, Maurice D. Weir
10,142 solutions #### Calculus: Early Transcendentals

10th EditionISBN: 9780470647691Howard Anton, Irl C. Bivens, Stephen Davis
10,488 solutions #### Calculus: Early Transcendentals

8th EditionISBN: 9781285741550 (6 more)James Stewart
11,085 solutions #### Calculus: Early Transcendentals

9th EditionISBN: 9781337613927 (1 more)Daniel K. Clegg, James Stewart, Saleem Watson
11,050 solutions