Question

Use cylindrical coordinates to find the volume of the cone shown in the figure:


Use cylindrical coordinates to find the volume of the cone shown in the figure: 

image.png

a) [3 points] Set up integral to find the volume 

b) [2 points] Evaluate the integral

c) [5 points] Show that z = h(1-r/r0), where r is a radius of a circular cross-section of the cone parallel to xy-plane.


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