A solid sphere a cone and a cylinder are floating in water. All have same mass, density and radius. Let `f_(1)f_(2)`,and `f_(3)` are the fraction of their volumes inside the water and `h_(1),h_(2)` and `h_(3)` are depths inside water. Then

Options

A. `f_(1)=f_(2)=f_(3)`
B. `f_(3)gtf_(2)gtf_(1)`
C. `h_(3) lth_(1)`
D. `h_(3)lth_(2)`

Answer

A, C, D

Explanation

Fraction of volume immersed in given by
`f=(rho_s)/(rho_l)`
`rho_(s)` and `rho_(l)` are same, Hence:
`f_(1)=f_(2)=f_(3)`
Base area in third case is uniform. Hence `h_(3)` is minimum.