Small Quiz

3

QUESTION 1

The ratio of the volume of a cube and the volume of the sphere that exactly fits in the cube is

2 : π
 

 π : 6
 

 6 : π
 

8 : π

QUESTION 2

The base and the height of a right circular cylinder are 3.5 cm and 7.5 cm respectively. The ratio of the total surface area to the curved surface area of the cylinder will be

22 : 5
 

22 : 15
 

 22 : 7
 

22 : 17

QUESTION 3

A spherical ball is formed by melting three spherical balls of radii 1 cm, 2 cm and 3 cm. During this process 25% of material is wasted. The radius of the new ball be

6 cm
 

5 cm
 

3 cm
 

2 cm

QUESTION 4

An area of 121 cm² is fenced from all sides by bending a wire in the form of a square. If the same wire is bent in the form of a circle, the area of the circle will be [Take π=22/7]

 150 cm²
 

152 cm²
 

154 cm²
 

159 cm²

QUESTION 5

The ratio of the area of a sector of a circle and the area of the circle is 1 : 4. If the area of circle is 154 cm², the perimeter of the sector of the circle will be

 20 cm
 

25 cm
 

36 cm
 

40 cm

QUESTION 6

The diagonal of a cube is 6 cm long. Its volume in cm³ is

 18√3
 

24√3
 

 28√3
 

30√3

QUESTION 7

A right circular cylinder circumscribing a hemisphere has been made in such a way that they have a common base. The ratio of their volumes is

1 : 3
 

 1 : 2
 

2 : 3
 

3 : 4

QUESTION 8

The total surface area of a solid cylinder is 462 cm². The area of curved surface is 1/3 of the total surface area. The volume of cylinder is

530 cm³
 

 536 cm³
 

 539 cm³
 

545 cm³

QUESTION 9

The radii of bases of a cylinder and a cone are equal. If their curved surfaces areas are in the ratio of 8:5, the ratio of their radii and heights is

1 : 2
 

 1 : 3
 

 2 : 3
 

 3 : 4

QUESTION 10

A semi circular sheet of metal whose diameter is 28 cm has been bent in the shape of conical bowl. The depth of the bowl is

11 cm

 12 cm
 

13 cm
 

14 cm

QUESTION 11

The radii of bases of a cylinder and a cone are equal. If their curved surfaces areas are in the ratio of 8:5, the ratio of their radii and heights is

1 : 2
 

 1 : 3
 

 2 : 3
 

 3 : 4