7) (4 pts.) Let D be solid hemisphere z? +y² + z² < 1, 2 2 0. The density function is 6 = 2. We will tell you that the mass is m="/4. Use SPHERICAL COORDINATES and find the z-coordinate of the center of mass. Hint: You need My- 7=??? p sin (6) dp dộ do p. 0-??? : 0-??? 0: 0- 27.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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10:33 1
CamScanner 0...12-2022 22.32
----------------------
. ..
(#7) [4 pts.) Let D be solid hemisphere r + y? + 2? <1, z 2 0.
The density function is 8 = z. We will tell you that the mass is m = 1/4.
Use SPHERICAL COORDINATES and find the z-coordinate of the center of mass.
Hint: You need Mry.
7=???
p* sin (6) dp dộ dô
p: 0-???
4: 0-???
0: 0- 27.
ttut teet
tem
tem
No Shadow
Original
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an
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Transcribed Image Text:10:33 1 CamScanner 0...12-2022 22.32 ---------------------- . .. (#7) [4 pts.) Let D be solid hemisphere r + y? + 2? <1, z 2 0. The density function is 8 = z. We will tell you that the mass is m = 1/4. Use SPHERICAL COORDINATES and find the z-coordinate of the center of mass. Hint: You need Mry. 7=??? p* sin (6) dp dộ dô p: 0-??? 4: 0-??? 0: 0- 27. ttut teet tem tem No Shadow Original Lighten Magic Color B&W an Left Markup To Text Signature
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