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Distance of the centre of mass of a soli...

Distance of the centre of mass of a solid uniform cone from its vertex is `z_(0)`. If the radius of its base is R and its height is h, then `z_(0)` is equal to

A

`(h^(2))/(4R)`

B

`(3h)/(4)`

C

`(5h)/(8)`

D

`(3h^(2))/(8R)`

Text Solution

Verified by Experts

The correct Answer is:
B
The centre of mass of a uniform cone lies at a height of `(h)/(4)` from the base on the line joining the vertex and the centre of the base. Hence it is situated at a depth of `(3h)/(4)` from the vertex.
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Knowledge Check

  • The centre of mass of a solid cone along the line from the centre of the base to the vertex is at

    A
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    B
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    D
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