Centroid of a Cone

Calculus Level 2

A right circular cone has its circular base on the XY plane, centered at ( 0 , 0 , 0 ) (0, 0, 0) , and its apex at the point ( 0 , 0 , h ) (0, 0, h) where h is the height of the cone. What are the coordinates of the centroid of the cone ?

( 0 , 0 , h / 2 ) (0, 0, h / 2) ( 0 , 0 , h / 4 ) (0, 0, h / 4) ( 0 , 0 , 2 h / 3 ) (0, 0, 2 h / 3) ( 0 , 0 , h / 3 ) (0, 0, h / 3)

Hosam Hajjir by Hosam Hajjir , 56, Canada

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1 solution

Suresha Hd
Jul 18, 2014

The centroid of a right circular cone lies at one-fourth the height of the cone.

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