Mensuration SSC CGL Questions

Mensuration

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

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.

20.50

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

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
ANSWER :
D. 231 cm3
5.

What is the total surface area of a cone whose curved surface area is 550 cm2 and radius is 7 cm? \(\text{(take } \pi = \dfrac{22}{7}\text{)}\)
SSC CGL 2024-26.9.2024-1

A.

764.71 cm2

B.

704.00 cm2

C.

682.60 cm2

D.

714.05 cm2

ANSWER :
B. 704.00 cm2
6.

If the radius and height of a right circular cylinder are 21 cm and 5 cm 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

ANSWER :
B. 3432 cm2