10th Mathematics surface area and volumes

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

• two cylinder

• a hemisphere and a cone

• a cone and a cylinder

• frustum of a cone and a cylinder

2. A shuttlecock used for playing badminton has the shape of the combination o

• a cylinder and a sphere

• a sphere and a cone

• a cylinder and a hemisphere

• a frustum of a cone and a hemisphere

3. The total surface area of a hemispherical solid having radius 7 cm is

• 462

• 294

• 588

• 154

4. A solid formed on revolving a right angled triangle about its height is

• a cylinder

• sphere

• right circular cone

• two cone

5. The surface area of a sphere is 616 sq cm. Its radius is

• 7

• 14

• 21

• 28

6. A cylinder and a cone are of same base radius and of same height. The ratio of the volume of the cylinder to that of the cone is

• $1:3$

• $3:1$

• $2:3$

• $3:2$

7. The sum of curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is

• 55

• 110

• 220

• 440

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

• $3\pi r^2$

• $4\pi r^2$

• $5\pi r^2$

• $6\pi r^2$

How many bags of grain can be stored in a cuboid granary 12 m × 6 m × 5 m. If each bag occupies a space of 0.48  $m^3$  

• 750

• 75

• 1500

• 375

Two cubes each with 6 cm edge are joined end to end. The surface area of the resulting cuboid is ____

• 36

• 216

• 360

• 3.6