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Mensuration (Part-11)
📆 August 29, 2025
Total Questions: 50
41.
If the numerical value of twice the curved surface area of a right circular cylinder is equal to the numerical value of its volume, then what is the numerical value of the radius of the base of the cylinder?
[SSC CGL 13/12/2022 (1st Shift)]
(a) 2
(b) 3
(c) 5
(d) 4
Correct Answer:
(d) 4
42.
A field is in the shape of a rectangle of length 90 m and breadth 75 m. In one corner of the field, a pit, which is 18 m long,15 m broad and 6 m deep, has been dug out. The Earth taken out of it is evenly spread over the remaining part of the field. Find the rise in the level of the field?
[SSC CPO 09/11/2022 (Morning)]
(a) 27 cm
(b) 25 cm
(c) 28 cm
(d) 24 cm
Correct Answer:
(b) 25 cm
43.
In the given figure, the length of arc AB is equal to twice the length of radius r of the circle. Find the area of sector OAB in terms of the radius r.
[SSC CPO 09/11/2022 (Morning)]
(a) 3r
(b) 2r
(c) πr²
(d) r²
Correct Answer:
(d) r²
44.
Determine the total surface area of a hemisphere closed at bottom.
[SSC CPO 09/11/2022 (Morning)]
(a) 75 unit²
(b) 70 unit²
(c) 60 unit²
(d) 50 unit²
Correct Answer:
(a) 75 unit²
45.
Find the perimeter of major sector of a circle of radius 12 metres, whose minor sector subtends an angle of 75° at the centre.
[SSC CPO 09/11/2022 (Morning)]
(a) 24 + 5π metres
(b) 24 + 19π metres
(c) 24 - 5π metres
(d) 24 - 19π metres
Correct Answer:
(b) 24 + 19π metres
46.
A frustum of a right circular cone, whose height is 18 cm, large base radius is 25 cm, and small base radius is 20 cm, is melted to form a small sphere of diameter 2 cm. How many spheres will be formed?
[SSC CPO 09/11/2022 (Afternoon)]
(a) 6287
(b) 6862
(c) 4575
(d) 5857
Correct Answer:
(b) 6862
47.
The radius of a hollow sphere is 21 cm. It is cut into two equal halves by a plane passing through its centre. What is 75% of the curved surface area (in cm², rounded off to the nearest tens) of the hemisphere? (Take π = 22/7)
[SSC CPO 09/11/2022 (Evening)]
(a) 4160
(b) 3470
(c) 2080
(d) 2770
Correct Answer:
(c) 2080
48.
The total surface area of a solid metallic hemisphere is 462cm². This is melted and moulded into a right circular cone. If the radius of the base of the cone is the same as that of the hemisphere, then its height is: (use π = 22/7)
[SSC CPO 09/11/2022 (Evening)]
(a) 14 cm
(b) 7 cm
(c) 21 cm
(d) 28 cm
Correct Answer:
(a) 14 cm
49.
As shown in the given figure, inside the large semicircle, three semicircles (with equal radii) are drawn so that their diameters all sit on the large semicircle's diameter. What is the ratio between the unshaded and shaded areas?
[SSC CPO 09/11/2022 (Evening)]
(a) 4:3
(b) 1:2
(c) 2:1
(d) 3:4
Correct Answer:
(b) 1:2
50.
What is the length of the longest pole that can fit itself in a hall 60 feet long, 30 feet broad and 20 feet high?
[SSC CPO 10/11/2022 (Morning)]
(a) 50 ft.
(b) 70 ft.
(c) 30 ft.
(d) 20 ft.
Correct Answer:
(b) 70 ft.
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