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Mensuration (Part-5)
📆 August 13, 2025
Total Questions: 50
41.
If the height of a solid right circular cylinder is 27 cm and diameter of its base is 30 cm, the total surface area (in cm²) of the right circular cylinder is: (Take π = 22/7)
[SSC CHSL 04/07/2024 (4th Shift)]
(a) 3978
(b) 3960
(c) 3976
(d) 3964
Correct Answer:
(b) 3960
Solution:
42.
3 solid spheres of diameters 6 cm, 8 cm and 10 cm are melted together to form a single solid sphere. Find its radius.
[SSC CHSL 04/07/2024 (4th Shift)]
(a) 3 cm
(b) 12 cm
(c) 9 cm
(d) 6 cm
Correct Answer:
(d) 6 cm
Solution:
43.
The ratio of the lateral surface area to the total surface area of a cylinder with base diameter 60 cm and height 10 cm is:
[SSC CHSL 04/07/2024 (4th Shift)]
(a) 1:9
(b) 1:3
(c) 1:7
(d) 1:4
Correct Answer:
(d) 1:4
Solution:
44.
The length, breadth and height of a cuboid are in ratio of 3:4:5. If the volume of the cuboid is 1620 m³, find the total surface area of the cuboid.
[SSC CHSL 05/07/2024 (1st Shift)]
(a) 646 m²
(b) 846 m²
(c) 423 m²
(d) 712 m²
Correct Answer:
(b) 846 m²
Solution:
45.
A cylindrical oil tank has a radius of 5 m and a total surface area of 628 m², what would be its curved surface area? (round off to the second decimal place)
[SSC CHSL 05/07/2024 (1st Shift)]
(a) 401.43 m²
(b) 371.83 m²
(c) 470.8 m²
(d) 481.43 m²
Correct Answer:
(c) 470.8 m²
46.
Rajesh is playing with a football having diameter of 28 cm. He wants to get a photo of his favourite player painted on the entire ball. The painter charges ₹2/cm². What will be the cost (in ₹) of painting the ball (take π =22/7) ?
[SSC CHSL 05/07/2024 (1st Shift)]
(a) 4,928
(b) 2,414
(c) 4,828
(d) 2,464
Correct Answer:
(a) 4,928
47.
A solid copper sphere of radius 9 cm is drawn into a wire of radius 4 mm. Find the length of the wire
[SSC CHSL 05/07/2024 (2nd Shift)]
(a) 70.25 m
(b) 60.75 m
(c) 20.75 m
(d) 65.25 m
Correct Answer:
(b) 60.75 m
48.
Find the height of the triangle whose base is two-thirds of its height and whose area is 363 cm²
[SSC CHSL 05/07/2024 (2nd Shift)]
(a) 33 cm
(b) 27 cm
(c) 29 cm
(d) 31 cm
Correct Answer:
(a) 33 cm
49.
Find the percentage increase in surface area of a cube by triple each side.
[SSC CHSL 05/07/2024 (3rd Shift)]
(a) 700%
(b) 800%
(c) 650%
(d) 500%
Correct Answer:
(b) 800%
50.
If the length, breadth and total surface area of a cuboid are 30 cm, 20 cm and 2600 cm², respectively, then find its height.
[SSC CHSL 05/07/2024 (3rd Shift)]
(a) 50 cm
(b) 30 cm
(c) 14 cm
(d) 15 cm
Correct Answer:
(c) 14 cm
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