Describing a Solid Ice Cream Cone with Spherical Coordinates

[WhiteWalker]

Q: Consider the solid that lies above the cone z=√(3x^2+3y^2) and below the sphere X^2+y^2+Z^2=36. It looks somewhat like an ice cream cone. Use spherical coordinates to write inequalities that describe this solid.






What I tried to do:
I started by graphing this on a 3D graph at http://web.monroecc.edu/manila/webfiles/calcNSF/JavaCode/CalcPlot3D.htm now since this is a solid I thought that all I need to do was find the coordinates where the graphs intersect. Am I on the right track?

 

[Mark44]

Q: Consider the solid that lies above the cone z=√(3x^2+3y^2) and below the sphere X^2+y^2+Z^2=36. It looks somewhat like an ice cream cone. Use spherical coordinates to write inequalities that describe this solid.






What I tried to do:
I started by graphing this on a 3D graph at http://web.monroecc.edu/manila/webfiles/calcNSF/JavaCode/CalcPlot3D.htm now since this is a solid I thought that all I need to do was find the coordinates where the graphs intersect. Am I on the right track?

Yes, but that's not much of a start. Pretty obviously the surfaces will intersect in a circle in some horizontal plane.

BTW, when you post a problem, don't delete the three parts of the homework template. They are required, and are there for a reason.

 

[WhiteWalker]

Thanks for correcting me. :)

The reason why I have this posted is because people I was working with had different ideas of what we where solving or how to solve it.