A solid enclosed between two concentric spheres is called a spherical shell. For a spherical shell, if and are the outer and inner radii respectively, then the volume of the shell is
A sphere of radius 5cm is dropped into a cylindrical vessel partly filled with water. The diameter of the vessel is 10cm. If the sphere is completely submerged, how much will the water rise?
The sphere will displace a volume of water equal to that of itself, and this shows how much the water will rise.
Volume of sphere cu.cm
The radius of the cylindrical vessel cm
The volume height occupied by cu.cm. of water in a cylindrical vessel of 5cm radius
A solid cylinder of glass, the radius of whose base is 9cm and height is 12cm, is melted and turned into a sphere. Find the radius of the sphere which is formed.
Volume of the cylinder
cu.cm --- (1)
Volume of the sphere --- (2)
By the given condition,
(1) = (2)