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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 Rand its height is h, the `z_(0)` is equal to :

A

`(3h)/(4)`

B

`(5h)/(8)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
`dm=pir^(2).dy.rho`
`y_(CM)=(intydm)/(intdm)`
`=(int_(0)^(h)pir^(2)dyxxrhoxxy)/((1)/(3)piR^(2)hrho)`
`=(3h)/(4)`
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