SURFACE AREA AND VOLUME QUESTIONS FOR SSC CGL SET 4

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SURFACE AREA AND VOLUME QUESTIONS FOR SSC CGL

SURFACE AREA AND VOLUME QUESTIONS FOR SSC CGL Set 3

 
1.The length of the largest possible rod that can be placed in a cubical room is 35√3 m. The surface area of the largest possible sphere that fits within the cubical room (assuming π = 22/7) in square m. is –
A)3,500
B)3,850
C)2,450
D)4,250

2.A quadrant of a circle of radius 14 cm is rolled so as to form a cone. The volume of the cone so formed is approximately (in cm3)
A)125
B)150
C)175
D)200

3.Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be –
A)85.5
B)92.5
C)90.5
D)87.5

4.A well of 2.8 m inside diameter is dug 9.6 m deep. The earth dug out of it is spread evenly all around it to a width of 1.2 m to form an embankment. What is the height of the embankment so formed?
A)3.92 m
B)2.56 m
C)1.96 m
D)0.84 m

5.The length, breadth and height of a room are in the ratio of 3: 2: 1. If the breadth and height are halved while the length is doubled, then the total area of four walls of the rod will –
A)Decrease by 13.64%
B)Decrease by 15%
C)Decrease by 18.75%
D)Decrease by 30%

6.If the ratio of the length and breadth of a rectangular parallelepiped is 5:3 and its height is 6 cm. If the total surface area of the parallelepiped be 558 sq. cm. then its length in dm is
A)9
B)1.5
C)10
D)15

7.If the ratio of the diameters of two right circular cones of equal heights be 3: 4, then the ratio of their volumes will be
A)3 : 4
B)9 : 16
C)16 : 9
D)27 : 64

8.If the sum of the dimensions of a rectangular parallelepiped is 24 cm and the length of the diagonal is 15cm. then the total surface area of it is –
A)420 cm2
B)275 cm2
C)351 cm2
D)378 cm2

9.Water flows into a tank 25 m x 10 m through a rectangular pipe 4 m x 1.5 m at 18 km. / hr. In how much time will the water level in the tank rise by 6m.
A)25 sec
B)50 sec
C)60 sec
D)100 sec

10.A right circular solid cylinder has radius 3 cm and height 4 cm. A conical cavity of same dimensions is carved out of the cylinder. The total surface area of the remaining solid approximately(in cm2) is
A)100 cm2
B)125 cm2
C)150 cm2
D)175 cm2

Set 1,2 and 3 Mensuration questions to practice