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.

A solid floats in water with 3//4 of its volume below the surface of water. Calculate the density of the solid.

A container is in the shape of an inverted cone. Its height is 6 m and radius is 4 m at the top. IF it is filled with water at the rate of 3m^3//min , then the rate of change of height of water (in m//min ) when the water level is 3 m is

A cylindrical piece of cork of height 4.9 cm floats in water with its axis vertical and is made to execute slın. Calculate its time period of oscillation if its density is 0.2 gm/cc ?

A solid is in the form of right circular cone surmounted on hemisphere of radius 4.2cm and height of cone is 8cm. The solid is placed in cylindrical tank full of water to submerge whole solid in water cylinder R=10cm,H=19. Find the volume of water left in cylinder.

A solid floats in water with frac(3)(4)^th of its volume below the surface of water, Calculate the density of the solid.

A vessel, in the form of an inverted cone, is filled with water to the brim. Its height is 20 cm and diameter is 16.8 cm. Two equal solid cones are dropped in it so that they are fully submerged. As a result, one-third of the water in the original cone overflows. What is the volume of each of the solid cones submerged ?

A container is the shape of an inverted cone. Its height is 6m and radius is 4 m at the top. If it is filled with water at the rate 3m^(3)//min then the rate of change of height of water (in mt//min) when the water level is 3 m is