Chapter 7: Triple Integration
Section 7.5: Spherical Coordinates
Example 7.5.5
Sketch the region inside the unit sphere centered at the origin, and outside the cone z=x2+y2, and above the plane z=0.
Solution
p1≔plot3dρ,θ,π/4,ρ=0..1, θ=0..2 π,coords=spherical:p2≔plot3d1,θ=0..2 π,φ=π/4.. π/2,coords=spherical,transparency=.3:plots:-displayp1,p2,axes=frame,labels=x,y,z,tickmarks=3,3,2,orientation=−10,75,0,lightmodel=none,scaling=constrained
The plot data-structure p1 houses the graph of cone; p2, the appropriate portion of the sphere.
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