Calculate the X_com of the cone of mass M in terms of quantities given in the picture. The density of the cone is uniform.
See the attachments for the picture.
The Attempt at a Solution
When I did it I got
X_com = (3L)/2
and I am unsure if this is correct or not. The infinitely small sections are circular disks of area pi R^2 were r is the radius of the infinitely small disk and a volume just an infinitely small width dx times the area. therefore the density
rho = dm/dV = dm/(pi R^2 dx)
I sort of got confused when I did because the radius changes with respect to x and during the middle of the test I sort of rushed this problem and thought that it just canceled out in the end but believe I may be wrong