Solution: Find the surface area of the portion of the sphere x^2+y^2+z^2=4 that is above xy -plane and within the cylinder x^2+y^2=1. Use polar coordinates
Question: Find the surface area of the portion of the sphere \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}=4\] that is above \[xy\] -plane and within the cylinder \[{{x}^{2}}+{{y}^{2}}=1\] . Use polar coordinates to evaluate the integral.
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(Steps Shown) Find the volume of the solid in the first octant bounded
(Solution Library) Set up and simplify the triple integral to calculate
![[See Solution] Find the moment of inertia,](/images/solutions/MC-solution-library-50544.jpg "[See Solution] Find the moment of inertia, I_z, for the solid of")
[See Solution] Find the moment of inertia, I_z, for the solid of
(See Solution) Let S be the solid in the first octant bounded by the
(Steps Shown) Evaluate ∫∫_Q∫(1)/(√x^2+y^2+z^2)dV
Substitution Method of Integration - MathCracker.com