Chapter 7: Triple Integration
Section 7.5: Spherical Coordinates
Example 7.5.6
Sketch the region bounded below by the cone φ=π/6 and above by the sphere ρ=2.
Solution
p1≔plot3d2,θ=0..2 π,φ=0..π/6,coords=spherical:p2≔plot3dρ,θ,π/6,ρ=0..2,θ=0..2 π,coords=spherical:plots:-displayp1,p2,scaling=constrained,labels=x,y,z,axes=frame,tickmarks=3,3,3,orientation=−20,80,0,lightmodel=none
The plot data-structure p1 houses the graph of the sphere, that is, of the "top" of the cone. The plot data-structure p2 houses the graph of the cone.
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