Mensuration (Part-12)

Total Questions: 50

1. The volume of a wall, six times as hight as its breadth and half as long as its height, is 23958 cm³. What is the breadth of the wall? [SSC CPO 10/11/2022 (Morning)]

Correct Answer: (c) 11 cm
Solution:

2. The curved surface area and circumference at the base of a solid right circular cylinder are 2200 cm² and 110 cm, respectively. Find the height of the cylinder. [SSC CPO 10/11/2022 (Morning)]

Correct Answer: (c) 20 cm
Solution:

3. The length of a cold storage is 5 times its breadth, and its height is 8 m. The area of its four walls (including the doors) is 720 m². Find the total surface area of cold storage. [SSC CPO 10/11/2022 (Afternoon)]

Correct Answer: (d) 1282.5 m²
Solution:

4. A cylinder of height 8 cm and radius 6 cm is melted and converted into 3 cones of the same radius and height that of cylinder. Determine the total curved surface area of cones. [SSC CPO 10/11/2022 (Evening)]

Correct Answer: (c) 180π cm²
Solution:

5. The heights of two right circular cones are in the ratio 1 : 5 and the perimeter of their bases are in the ratio 5 : 3. Find the ratio of their volumes. [SSC CPO 10/11/2022 (Evening)]

Correct Answer: (c) 5 : 9
Solution:

6. The area of the sector of a circle is 128cm². If the length of the arc of that sector is 64 cm, then find the radius of the circle. [SSC CPO 10/11/2022 (Evening)]

Correct Answer: (a) 4 cm
Solution:

7. A cone-shaped storage tank's height and radius are 9 and 7 feet, respectively. Determine how much liquid the tank can contain. (Take π = 3.14) [SSC CPO 11/11/2022 (Morning)]

Correct Answer: (d) 461.58 cubic feet
Solution:

8. A hall of 10 m length, 5 m width and 6 m height is to be painted (one side only). Determine the total surface area to be painted. (neglect the area of windows and doors) & (floor area is NOT to be painted) [SSC CPO 11/11/2022 (Morning)]

Correct Answer: (d) 230 m²
Solution:

9. A hemispherical bowl of internal radius 6 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 2 cm and height 4 cm. How many bottles will be needed to empty the bowl? [SSC CPO 11/11/2022 (Afternoon)]

Correct Answer: (d) 36
Solution:

10. The difference between the semi -perimeter and the sides of △PQR are 18 cm, 17 cm and 25 cm, respectively. Find the area of the triangle [SSC CPO 11/11/2022 (Evening)]

Correct Answer: (c) 30√510 cm²
Solution: