Q6. A housing society used to collect rain water from the roof of its building 22 m x 20 m to a cylindrical vessel having diameter of base 2 m and height 3.5 m and then pump this water into the main water tank so that all members can use it. On a particular day the rain water collected from the roof just filled the cylindrical vessel. Then, find the rainfall in centimeter.

Q5. A vessel full of water is in the form of an inverted cone of height 8 cm and the radius of its top, which is open, is 5 cm. 100 spherical lead balls are dropped into the vessel. One-fourth of the water flows out of the vessel. Find the radius of a spherical ball.

Q4. A sphere of diameter 6 cm is dropped into a right circular cylindrical vessel, partly filled with water. The diameter of the cylindrical vessel is 12 cm. If the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel?

Q3. A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical-shaped small bottles, each of diameter 3 cm and height 4 cm. How many bottles are needed to empty the bowl?

Q2. How many silver coins, 1.75cm in diameter and of thickness 2mm, must be malted to form a cuboid of dimensions 5.5 cm X 10 cm x 3.5 cm?

Q1. How many spherical solid bullets can be made out of a solid cube of lead whose edge measure 44cm, each bullet being 4cm in diameter?