Question 3

Type "Example 2.28" to see the graph in app[br][u][color=#0000ff]https://www.geogebra.org/3d/djxn4wbx[/color][/u]
Question 3
By using suitable triple integrals, find the volume of the solid, H,[br]bounded above by hemisphere z= [math]\sqrt{25-x^2-y^2}[/math] , below by xy-plane and side by cylinder [math]x^2+y^2=9[/math].[br][img]data:image/png;base64,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[/img]
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