Back to Double Integrals in Polar Coordinates

Activity 12.6.3

Avg difficulty 2.5

Use polar coordinates to find the volume of the solid between the cone $z=f(x,y)=\sqrt{x^2+y^2}$ and the paraboloid $z=g(x,y)=\frac{1}{8}\left(x^2+y^2\right) + 2$ .

Long, Keller & Schlicker, Active Calculus Multivariable, §12.6 Double Integrals in Polar Coordinates, Activity 12.6.3

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Adapted from Active Calculus Multivariable © 2013–2026 Nicholas Long, Mitchel T. Keller, and Steven Schlicker. Licensed under CC BY-SA 4.0. Source: Active Calculus Multivariable. Imported at revision 692c03c.