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A solid cone has uniform density. If the distance of its centre of mass from the vertex is denoted by z0, and the cone has base radius R and height h, what is the value of z0?

1. 5h/8
2. 3h²/8R
3. h²/4R
4. 3h/4

Correct answer: 3h/4

Solution

The center of mass of a solid cone is located at a distance of 3h/4 from the vertex along its axis, which accounts for the distribution of mass being denser towards the base due to the cone's shape.

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