If the height of a hallow cone is 10 m, what will the distance of center of gravity from its vertex? 

Concept:

The distance of the center of gravity (CG) from the vertex of a hollow cone is given by the formula:

\(\text{Distance from vertex} = \frac{2h}{3}\)

where \(h\) is the height of the cone.

Calculation:

Given:

• Height of the hollow cone, \(h = 10 \, \text{m}\)

Using the formula for the distance of the center of gravity from the vertex:

\(\text{Distance from vertex} = \frac{2h}{3}\)

Substitute the given value of \(h\):

\(\text{Distance from vertex} = \frac{2 \times 10}{3} = \frac{20}{3} \approx 6.67 \, \text{m}\)

The distance of the center of gravity from the vertex is 6.67 m