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A conical vessel without a bottom stands...


A conical vessel without a bottom stands on a table a liquid is poured with the vessel & as the level reaches h the pressure of the liquid raises the vessel the radius of the base of the vessel is R and half angle of the cone is `alpha` and the weight of the vessel is W. What is the density of the liquid?

A

`(W)/(pi gh^(2)tan^(2) prop (R+(1)/(3) h tan prop ))`

B

`(W)/(pi gh^(2)tan prop (R+(1)/(3) h tan prop ))`

C

`(W)/(pi gh^(2)tan prop (R-(h tan prop )/(3) h tan prop ))`

D

`(W)/(pi gh^(2)tan prop (R-(1)/(3) tan prop ))`

Text Solution

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The correct Answer is:
D
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