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Mensuration (Part-11)
📆 August 29, 2025
Total Questions: 50
21.
In the given figure, a square ABCD is inscribed in a quadrant APCQ. If AB = 16 cm, find the area of the shaded region (take π = 3.14) correct to two places of decimal.
[SSC CGL 02/12/2022 (4th Shift)]
(a) 155.98cm²
(b) 179.68cm²
(c) 163.85cm²
(d) 145.92cm²
Correct Answer:
(d) 145.92cm²
22.
If the volume of a sphere is 24,416.64 cm³, find its surface area (take π=3.14) correct to two places of decimal.
[SSC CGL 03/12/2022 (1st Shift)]
(a) 3069.55 cm²
(b) 4069.44 cm²
(c) 5069.66 cm²
(d) 6069.67 cm²
Correct Answer:
(b) 4069.44 cm²
23.
The radius of a right circular cylinder is thrice its height. If the height of the cylinder is 2.1 cm, then what is the volume of the cylinder ?
[SSC CGL 03/12/2022 (3rd Shift)]
(a) 224.65 cm³
(b) 194.72 cm³
(c) 324.86 cm³
(d) 261.95 cm³
Correct Answer:
(d) 261.95 cm³
24.
A solid copper sphere of radius 9 cm is hammered and moulded into a wire of radius 2 cm. What is the length of this wire?
[SSC CGL 03/12/2022 (3rd Shift)]
(a) 224 cm
(b) 183 cm
(c) 198 cm
(d) 243 cm
Correct Answer:
(d) 243 cm
25.
The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube?
[SSC CGL 05/12/2022 (1st Shift)]
(a) 91.98 cm³
(b) 99.96 cm³
(c) 96.98 cm³
(d) 90.69 cm³
Correct Answer:
(a) 91.98 cm³
26.
A hollow sphere has an outer radius of 4 cm and inner radius of 1 cm. What is the volume of this hollow sphere?
[SSC CGL 05/12/2022 (3rd Shift)]
(a) 84π cm³
(b) 68π cm³
(c) 48π cm³
(d) 92π cm³
Correct Answer:
(a) 84π cm³
27.
Three cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is 6√3 cm.
[SSC CGL 05/12/2022 (4th Shift)]
(a) 509 cm²
(b) 504 cm²
(c) 516 cm²
(d) 512 cm²
Correct Answer:
(b) 504 cm²
28.
A solid hemisphere has radius 21 cm. It is melted to form a cylinder such that the ratio of its curved surace area to total surface area is 2:5. What is the radius (in cm) of its base (take π = 22/7)?
[SSC CGL 06/12/2022 (1st Shift)]
(a) 23
(b) 21
(c) 17
(d) 19
Correct Answer:
(b) 21
29.
Calculate the area of a sector of a circle with radius 10 metres and angle of 90 degrees at the centre.
[SSC CGL 06/12/2022 (3rd Shift)]
(a) 79.3 m²
(b) 79.5 m²
(c) 78.5 m²
(d) 75 m²
Correct Answer:
(c) 78.5 m²
30.
The ratio of the outer and the inner circumference of a circular path is 5:4. If the path is 50 metres wide, then what is the radius of the inner circle?
[SSC CGL 06/12/2022 (3rd Shift)]
(a) 250 metres
(c) 200 metres
(b) 300 metres
(d) 210 metres
Correct Answer:
(c) 200 metres
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