A cone made of a materal of relative density `(d = (27)/(64))` and height 4 m floats with its apex downward in a big container having water. Calculate the submerged height (in meter) of cone in water.

Options

A. 2 m
B. 3 m
C. 2.5 m
D. 3.5 m

Answer

B

Explanation

For floating condition buoyant force = weight
`(1)/(3) A. ((h)/(H))^(2)h.d_(w) g=(1)/(3) (AH) d_(w)d.g`

`h = H(d)^(1//3) = 4 ((27)/(64))^(1//3) h = 3m`