Mensuration SSC CGL Questions

SSC CGL-Quantitative Aptitude

Mensuration MCQ Questions


1.
A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is ?
SSC CGL 2021-11.04.2022-1
A.
2
B.
6
C.
5
D.
4
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ANSWER :
D. 4
2.
A 35 cm high bucket in the form of a frustum is full of water. Radii of its lower and upper ends are 12 cm and 18 cm respectively. If water from this bucket is poured in a cylindrical drum, whose base radius is 20 cm, then what will be the height of water (in cm) in the drum?
SSC CGL 2021-11.04.2022-3
A.
16.25
B.
18.25
C.
19.95
D.
20.5
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ANSWER :
C. 19.95
3.
What is the difference in the volume (in cm³) of a sphere of radius 7 cm and that of a cone of radius 7 cm and height 10 cm? (Use π=\(\dfrac{22}{7}\))
SSC CGL 2021-12.04.2022-1
A.
205
B.
704
C.
924
D.
1078
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ANSWER :
C. 924
4.
Find the volume of a cone having base radius 3.5 cm and height 18 cm.
SSC CGL 2024-26.9.2024-3
A.
241 cm³
B.
221 cm³
C.
201 cm³
D.
231 cm³
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ANSWER :
D. 231 cm³
5.
What is the toal surface area of a cone whose curved surface area is 550cm2 and radius is 7cm?\(\text{(take } \pi = \dfrac{22}{7}\text{)}\)
SSC CGL 2024-26.9.2024-1
A.
764.71 cm²
B.
704.00 cm²
C.
682.60 cm²
D.
714.05 cm²
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ANSWER :
B. 704.00 cm²
6.
If the radius and height of a right circular cylinder are 21cm and 5cm respectively, then the total surface area of the cylinder is ?\(\text{(Use } \pi = \dfrac{22}{7}\text{)}\):


SSC CGL 2024-26.9.2024-2
A.
4312 cm²
B.
3432 cm²
C.
5212 cm²
D.
3816 cm²
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ANSWER :
B. 3432 cm²