Find the distance of centre of mass of a uniform cone of height 'h' and base radius R, from the vertex on the line of symmetry .

Explanation

To find the distance of the center of mass of a uniform cone from its vertex along the line of symmetry, we can follow these steps:

### Step 1: Understand the Geometry of the Cone
We have a uniform cone with height \( h \) and base radius \( R \). The vertex of the cone is at the top, and the base is at the bottom.

### Step 2: Set Up the Coordinate System
We can set up a coordinate system where the vertex of the cone is at the origin (0,0,0) and the base of the cone is at \( y = h \). The radius of the base at height \( y \) can be expressed in terms of \( y \).

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