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

If a cylindrical wooden piece of density 750 kg m^(-3) is floating in water, what fraction of the length of the cylinder of inside the water ?

If a sphere and a cone oh height 'h' have same radius and same volume , then find ratio of 'r' to 'h':

A boat floats on water with three fourth of its volume inside water. Density of water is 10^(3)kg//m^(3) find the density of the material of the boat.

What is the volume of one molecules of water (density of H_(2) O = 1 g cm^(-3) )

A block of wood floats in water kept in a vessel with two-third of its volume inside water.The vessel is placed in a lift having an upward acceleration 1.2m/s^(2) .Now the fraction of volume inside water is found to be (4)/(n) . What is the value of n ?

A solid sphere and a solid cylinder of same mass are rolled down on two inclined planes of heights h_(1) and h_(2) respectively. If at the bottom of the plane the two objects have same linear velocities, then the ratio of h_(1):h_(2) is

The pressure P_(1) at the top of a dam and P_(2) at a depth h from the top inside water (density rho ) are related as :