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Mensuration (Part-11)
📆 August 29, 2025
Total Questions: 50
31.
The diagonal of the square is 8√2 cm. Find the diagonal of another square whose area is triple that of the first square.
[SSC CGL 06/12/2022 (4th Shift)]
(a) 8√5 cm
(b) 8√3 cm
(c) 8√2 cm
(d) 8√6 cm
Correct Answer:
(d) 8√6 cm
32.
Steel is used to make a hemispherical bowl that is 0.37 cm thick. The bowl's inner radius is 6 cm. Find the bowl's outer curved surface area (take π = 22/7) .
[SSC CGL 07/12/2022 (1st Shift)]
(a) 532 cm²
(b) 255.0548 cm²
(c) 484 cm²
(d) 523.4107 cm²
Correct Answer:
(b) 255.0548 cm²
33.
An iron rod with diameter 4 cm and length 12 cm is drawn into a wire of length 12 m of uniform thickness. Determine the thickness of the wire.
[SSC CGL 08/12/2022 (2nd Shift)]
(a) 0.6 cm
(b) 0.7 cm
(c) 0.3 cm
(d) 0.4 cm
Correct Answer:
(d) 0.4 cm
34.
A solid cone of height 42 cm with diameter of its base 42 cm is cut out from a wooden solid sphere of radius 24 cm. Find the percentage of wood wasted correct to two places of decimal.
[SSC CGL 09/12/2022 (1st Shift)]
(a) 75.56%
(b) 56.65%
(c) 66.50%
(d) 67.50%
Correct Answer:
(c) 66.50%
35.
The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube ?
[SSC CGL 09/12/2022 (2nd Shift)]
(a) 11.50 cm³
(b) 1.15 cm³
(c) 11.55 cm³
(d) 115 cm³
Correct Answer:
(a) 11.50 cm³
36.
The curved surface area of a right circular cone of base radius 21 cm is 594 sq cm. What is the slant height of the cone?
[SSC CGL 09/12/2022 (3rd Shift)]
(a) 15 cm
(b) 11cm
(c) 9 cm
(d) 6 cm
Correct Answer:
(c) 9 cm
37.
The number of solid spheres, each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 90 cm and diameter 4 cm is:
[SSC CGL 09/12/2022 (4th Shift)]
(a) 10
(b) 14
(c) 16
(d) 13
Correct Answer:
(a) 10
38.
The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (Use π = 22/7)
[SSC CGL 12/12/2022 (2nd Shift)]
(a) 345.6 cm³
(b) 359.3 cm³
(c) 379.3 cm³
(d) 369.3 cm³
Correct Answer:
(b) 359.3 cm³
39.
Area of the floor of a cubical room is 64 m². The length of the longest rod that can be kept in the room is:
[SSC CGL 12/12/2022 (3rd Shift)]
(a) 16√3m
(b) 4√3 m
(c) 12√3 m
(d) 8√3 m
Correct Answer:
(d) 8√3 m
40.
A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with internal radius 15 cm, what will be the height to which the water rises in it?
[SSC CGL 12/12/2022 (4th Shift)]
(a) 16 cm
(b) 10 cm
(c) 12 cm
(d) 14 cm
Correct Answer:
(a) 16 cm
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