1. A mason constructs a wall of dimensions 270cm× 300cm × 350cm with the bricks
each of size 22.5cm × 11.25cm × 8.75cm and it is assumed that 1/8 space is covered by the mortar. Then the number of bricks used to construct the wall is

2. 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

3. 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

4. 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

5. If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is

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

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

8. 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

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

10. Volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is