1)

The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm². Its volume (in cm³) is:

, Avg: 00:41 , 60%✓ SSC CPO 2020

A)

3080

B)

6160

C)

1078

D)

9240

2)

A 9 cm solid metallic cube and a solid metallic cuboid having dimensions 5 cm, 13 cm, 31 cm are melted and recast into a single cube. What is the total surface area (in cm²) of the new cube?

, Avg: 01:28 , 100%✓ SSC CPO 2020

A)

1362

B)

865

C)

2744

D)

1176

3)

A solid sphere of radius 11 cm is melted and recast into small solid spheres of radius 2 cm each. How many maximum number (in integer) of such spheres can be made?

, Avg: 01:14 , 100%✓ SSC CPO 2020

A)

125

B)

166

C)

100

D)

30

4)

A solid metallic cube of side 9 cm and a solid metallic cuboid having dimensions 5 cm, 13 cm, 31 cm are melted to from a single cube. How much (in Rs.) is the cost to polish the new cube at a rate of Rs. 10 per cm²?

, Avg: 02:55 , 100%✓ SSC CPO 2020

A)

8,650

B)

11,760

C)

13,620

D)

27,440

5)

The radius of the base of a cylinder of a cylinder is 14 cm and its volume is 6160 cm³. The curved surface area (in cm²) is:
(take π = 22/7)

, Avg: 01:51 , 100%✓ SSC CPO 2020

A)

880

B)

778

C)

940

D)

660

6)

The ratio of the total surface area and volume of a sphere is 2 ∶ 7. Its radius is:

, Avg: 00:30 , 50%✓ SSC CPO 2020

A)

10.5 cm

B)

7 cm

C)

10 cm

D)

7.5 cm

7)

If the volume of a sphere is 4851 cm³, then its surface area (in cm²) is: (Taken \(\pi={22\over 7}\))

, Avg: 00:04 , 100%✓ SSC CPO 2020

A)

1268

B)

1386

C)

1399

D)

1427

8)

Let A and B be two cylinders such that the capacity of A is the same as the capacity of B. The ratio of the diameters of A and B is 1 ∶ 4. What is the ratio of the heights of A and B?

SSC CPO 2020

A)

16 : 3

B)

16 : 1

C)

1 : 16

D)

3 : 16