List of practice Questions

A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm³) is needed to fill this capsule?

Find the volume of a sphere whose radius is
(i) 7 cm 
(ii) 0.63 m

Find the amount of water displaced by a solid spherical ball of diameter.
(i) 28 cm 
(ii) 0.21 m

The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm³ ?

The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

How many liters of milk can a hemispherical bowl of diameter 10.5 cm hold?

A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1m, then find the volume of the iron used to make the tank.

Find the volume of a sphere whose surface area is 154 cm².

A dome of a building is in the form of a hemisphere. From inside, it was whitewashed at the cost of ₹4989.60. If the cost of whitewashing is ₹20 per square meter, find the
(i) inside surface area of the dome,
(ii) volume of the air inside the dome

Twenty-seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S'. Find the 
(i) radius r' of the new sphere, 
(ii) ratio of S and S'