A hemispherical vessel having an outer diameter `18 cm` and weighing `200g` floats in water Find the maximum volume of liquid that may be poured into the vessel without sinking. Density of liquid `=3100 "kgm"^(3).`

An iron casting weighs 27kg in air 18kg in water. What is the volume of the covities in the casting ? (Density of iron =7800kgm^(-3) )

A block of wood floats in water with (4//5)th of its volume submerged. If the same block just floats in a liquid, the density of liquid in (kg m^(-3)) is

A conical vessel whose internal radius is 10 cm and height 48 cm is full of water. Find the volume of water. If this water is poured into a cylindrical vessel with internal radius 20 cm, find the height to which the water level rises in it.

A body of mass 6 kg is floating in a liquid with 2//3 of its volume inside the liquid.Find ratio between the density of body and density of liquid. Take g=10 ms^-2 .

A 700 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? Density of water =1000 kgm^-3

The three vessels shown in figure have same base area. Equal volumes of a liquid are poured in the thre vessels. The force on the base will be

A sphere of diameter 8cm and mass 275g floats in a bath of liquid. As the temperature is raised, the sphere begins to sink at a temperature of 40^(0)C . If the density of the liquid is 1.5g//cm^(3) at 0^(0)C , find the coefficient of cubical expansion of the liquid. Neglect the expansion of the sphere