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Mensuration (Part-12)
📆 September 1, 2025
Total Questions: 39
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)]
(a) 21 cm
(b) 15 cm
(c) 11 cm
(d) 18 cm
Correct Answer:
(c) 11 cm
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)]
(a) 24 cm
(b) 22 cm
(c) 20 cm
(d) 18 cm
Correct Answer:
(c) 20 cm
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)]
(a) 1290.6 m²
(b) 1275.3 m²
(c) 1265.25 m²
(d) 1282.5 m²
Correct Answer:
(d) 1282.5 m²
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)]
(a) 180π cm²
(b) 60π cm²
(c) 144π cm²
(d) 120π cm²
Correct Answer:
(c) 144π cm²
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)]
(a) 8:11
(b) 7:6
(c) 5:9
(d) 3:4
Correct Answer:
(a) 8:11
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)]
(a) 4 cm
(b) 8 cm
(c) 2 cm
(d) 16 cm
Correct Answer:
(c) 2 cm
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)]
(a) 471 cubic feet
(b) 450 cubic feet
(c) 435.32 cubic feet
(d) 461.58 cubic feet
Correct Answer:
(d) 461.58 cubic feet
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)]
(a) 300 m²
(b) 280 m²
(c) 330 m²
(d) 230 m²
Correct Answer:
(d) 230 m²
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)]
(a) 32
(b) 37
(c) 38
(d) 36
Correct Answer:
(d) 36
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)]
(a) 330√510 cm²
(b) 230/510 cm²
(c) 30√510 cm²
(d) 130√510 cm²
Correct Answer:
(c) 30√510 cm²
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