Mensuration SSC GD Questions

Mensuration MCQ Questions

13.
A spherical ball of radius 3 cm, is immersed in water contained in a vertical cylinder of radius 5 cm. Assuming the water covers the ball completely, what is the rise in the water level (in cm, up to two decimal places)?
SSC GD 2021-03.12.2021-2
A.
1.75
B.
1.44
C.
2.25
D.
3.14
ANSWER :
B. 1.44
14.
A rectangular park 14 m long, 8 m wide is surrounded by a path 1 m wide. What is the area of the path?
SSC GD 2021-03.12.2021-1
A.
20 m²
B.
30 m²
C.
13 m²
D.
48 m²
ANSWER :
D. 48 m²
15.
One round of a circular park having radius 21 m is the same as that of a square park. What is the length of the side of the square park? (Use π = \( \frac{22}{7} \))
SSC GD 2021-03.12.2021-1
A.
16.5 m
B.
21 m
C.
44 m
D.
33 m
ANSWER :
D. 33 m
16.
In a pool of length 50 m and width 45 m, 90 persons take a dip. If the average displacement of water by the persons is 1 m³, then how much will the water level rise?
SSC GD 2021-03.12.2021-3
A.
12 cm
B.
40 cm
C.
4 cm
D.
10 cm
ANSWER :
C. 4 cm
17.
A wire, which is in the form of a circle with radius 14 cm, is bent to form a square. What is the length (in cm) of the side of the square? (Use π = \( \frac{22}{7} \))
SSC GD 2021-03.12.2021-3
A.
20.8
B.
24
C.
21.5
D.
22
ANSWER :
D. 22
18.
The surface area of a solid cube is 726 cm². It is melted and recast into a solid cylinder of radius 11 cm. What is the height (in cm) of the cylinder? (Take π = \( \frac{22}{7} \))
SSC GD 2021-06.12.2021-1
A.
3.5
B.
5.5
C.
1.9
D.
2.5
ANSWER :
A. 3.5