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Question: Section of a 3d spherical plot function

Question:Section of a 3d spherical plot function

WernerP 20 Maple 2016
plot sphere 3d
May 17 2016
2

Is there an elegant way to plot in 3d only the portion of the function f(x,y)=sqrt(25-x^2-y^2) for which 9 <= x^2+y^2 <= 16 ? I'm looking for a nice plot that shows it against the whole sphere with radius 5, so that it's clear which part of the sphere is cut out.
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