A cylinder of radius 12 cm contains water to a depth of 20 cm. When a spherical iron ball is dropped in to the cylinder, the level of water is raised by 6.75 cm. Find the radius of the ball. `[pi = (22)/(7)]`

A solid sphere with radius 6 cm was totally submerged in water kept in a cylindrical vessel. The water level in the vessel rose by 4.5 cm. Find the radius of the cylindrical vessel.

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. find the height of the cylinder.

A 15 cm long test tube having diameter of 3.6 cm has water up to a height of 6 cm. 20 spherical drops of oil of radius 9 mm are dropped into it. What length of test tube remains empty ?

Find the volume and the total surface area of a hemisphere of radius 3.5 cm . (pi= (22)/(7))

Mayank made new a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end [ see the given figure]. The height of the cylinder is 1.45 m and its radius is 30 cm. Find the total surface area of the bird- bath. (Take pi=(22)/(7))

A Rectangular paper of width 14 cm is folded along its width and a cylinder of radius 20 cm is formed. Find the volume of the cylinder (Take pi =(22)/(7))

The volume of a cylinder is 2200 cm^(3) and its height is 7 cm. Then, the radius of the cylinder is ……… cm.

A piston of mass M=3kg and radius R=4cm has a hole into which a thin pipe of radius r=1 cm is inserted the piston can enter a cylinder tightly and without friction an initially it is at the bottom of the cylinder 750 gm of water is now poured into the pipe so that the piston&pipe and lifted up as shown find the height H of water in the cylinder and height h of water in the pipe.

A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain ?