Mensuration (Part-5)

Total Questions: 50

1. The radius of a roller is 49 cm and its length is 200 cm. It takes 700 complete revolutions to move once over to level a playground. Find the area of the playground (Use π = 22/7) [SSC CHSL 01/07/2024 (3rd Shift)]

Correct Answer: (a) 4312 x 10⁴ cm²
Solution:

2. The curved surface area of a cone is 2200 cm² and its radius is 28 cm, what is the slant height (in cm) of the cone? (Use π = 22/7) [SSC CHSL 01/07/2024 (3rd Shift)]

Correct Answer: (d) 25
Solution:

3. If the side of a cube is 3, which of the following options is equal to the ratio between the surface area and the volume of the cube? [SSC CHSL 01/07/2024 (4th Shift)]

Correct Answer: (b) 2 : 1
Solution:

4. The surface area of a sphere is 2464 cm². Find its volume. [SSC CHSL 01/07/2024 (4th Shift)]

Correct Answer: (b)
Solution:

5. Which of the following are the sides of a right - angled triangle? [SSC CHSL 01/07/2024 (4th Shift)]

Correct Answer: (b) 12 cm, 16 cm, 20 cm
Solution:

6. Find the diameter of a spherical ball whose volume is 38.808 cm³. (Use π = 22/7) [SSC CHSL 01/07/2024 (4th Shift)]

Correct Answer: (d) 4.2 cm
Solution:

7. The perimeter of a minor sector of a circle of radius 4 units subtending an angle of 45° is: [SSC CHSL 02/07/2024 (1st Shift)]

Correct Answer: (b) 8 + π units
Solution:

8. If the diameter of a hemisphere is 21 cm, then the curved surface area (in 22 cm²) of the hemisphere is : Take π = 22/7 [SSC CHSL 02/07/2024 (1st Shift)]

Correct Answer: (c) 693
Solution:

9. The capacity of a cylinder tank is 8316 cm³. If the radius of its base is 21 cm, then find the depth of the tank. [SSC CHSL 02/07/2024 (1st Shift)]

Correct Answer: (a) 6 cm
Solution:

10. The volume of a cube is reduced to 72.9%. By how much is the side of the cube reduced ? [SSC CHSL 02/07/2024 (2nd Shift)]

Correct Answer: (b) 10%
Solution: