1. In a right circular cone, the cross-section made by a plane parallel to the base is a

2. If a solid piece of iron in the form of a cuboid of dimensions 49 cm x 33 cm x 24 cm, is

moulded to form a solid sphere. Then, radius of the sphere is

3. The shape of a gilli, in the gilli-danda game (see figure) is a combination of

4. A plumbline (sahul) is the combination of (see figure)

5. If volumes of two spheres are in the ratio 64 : 27, then the ratio of their surface areas is

6. The shape of a glass (tumbler) (see figure) is usually in the form of

7. A surahi is the combination of

8. The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm,

respectively. The curved surface area of the bucket is

9. During conversion of a solid from one shape to another, the volume of the new shape will

10. Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base

diameter 2 cm and height 16 cm. The diameter of each sphere is

11. A cylindrical pencil sharpened at one edge is the combination of

12. A shuttle cock used for playing badminton has the shape of the combination of

13. If a hollow cube of internal edge 22 cm is filled with spherical marbles of diameter 0.5 cm and

it is assumed that – space of the cube remains unfilled. Then, the number of marbles that the

cube can accomodate is

14. A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres

stuck to each of its ends. The length of entire capsule is 2 cm. The capacity of the capsule is

15. A right circular cylinder of radius r cm and height h cm (where, h>2r) just encloses a sphere

of diameter

16. A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is

melted and recast into the form a cone of base diameter 8 cm. The height of the cone is

17. If two solid hemispheres of same base radius r are joined together along their bases, then

curved surface area of this new solid is

18. A cone is cut through a plane parallel to its base and then the cone that is formed on one

side of that plane is removed. The new part that is left over on the other side of the plane is called

19. A mason constructs a wall of dimensions 270 cmx 300 cm x 350 cm with the bricks each of

size 22.5 cm × 11.25 cm × 8.75 cm and it is assumed that 1/8 space is covered by the mortar.

Then, the number of bricks used to construct the wall is

20. The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the

bucket is 35 cm. The capacity of the bucket is