Consider W a solid region in R°, such that W is inside 2² + y? + 2? = 25 and outside 2² + y? = 9 and above the plane z = 0. (a) Sketch W. (b) Use spherical coordinates to find the total mass of W if its density (mass per unit volume) is given by 1 p(x, y, z): 1² + y² + z²

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Consider W a solid region in R3, such that W is inside
x² + y? + z? = 25
and outside
2² + y? = 9
and above the plane z = 0.
(a) Sketch W.
(b) Use spherical coordinates to find the total mass of W if its density (mass per unit volume)
is given by
1
p(x, y, z) =
x² + yj² + z²
Transcribed Image Text:Consider W a solid region in R3, such that W is inside x² + y? + z? = 25 and outside 2² + y? = 9 and above the plane z = 0. (a) Sketch W. (b) Use spherical coordinates to find the total mass of W if its density (mass per unit volume) is given by 1 p(x, y, z) = x² + yj² + z²
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