Question

1. Find the surface area of a sphere of radius: (i) 14 cm (ii) 10.5 cm.

2. Find the volume of sphere of radius: (i) 0.63 m (ii) 11.2 cm.

3. Find the surface area of Sphere of diameter: (i) 21 cm (ii) 3.5 cm.

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

5.The radius of a spherical balloon increases from 7 cm to 14 cm as air is pumped into it. Find the ratio of the balloon in two cases.

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

7. If the volume of the sphere is 179⅔ cm3, find the radius and the surface area.

8. If the ratio of the radii of two spheres is 3:7, find (i) ratio of their volumes (ii) ratio of their surface areas.

9. A hemispherical bowl has inner diameter 10.5 cm. Find the cost of tin – plating it on the inside at the rate of rs.16 per 100 cm2

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

11. The surface area of a solid sphere is 1256 cm2. It is cut into two hemi soheres. Find the total surface area and the volume of hemisohere. Take π = 3.14

12. A hemispherical bowl is made of steel, 0.25 cm thick the inner radius of the bowl is 5 cm. Find the outer curved surface of the bowl.

13. A hemispherical dome of a building needs to be painted from outside. If the circumference of the base of the dome is 17.6 m. find the cost of painting it at the rate of Rs.5 per 100 cm2

14. A dome of a building is in the form of a hemisphere. From inside, it was white washed at a cost of Rs.498.96. If the cost of white washing is Rs.2 per square, find: (i) the inside surface area of the dome (ii) volume of air inside the dome.

15. What quantity of milk in litres can a hemispherical bowl of diameter 10.5 cm. hold?

16.The volumes of two spheres are in the ratio 64:27. Find the ratio of their surface areas.

Answer 1

Answer:

1--- Surface area of sphere is 4πr²

Step-by-step explanation:

4*22/7*14*14

2464cm2