Mensuration (Part-7)

Total Questions: 50

41. The diameter of a hemispherical bowl is 21 cm. The volume of the bowl is equal to: (Use π = 22/7) [SSC CHSL Tier II (02/11/2023)]

Correct Answer: (b) 2,425.5 cm³
Solution:

42. The radius and height of a right circular cone is increased by 25%. Find the increase in percentage of the volume of the cone (rounded off to 2 decimal places). [SSC CHSL Tier II (02/11/2023)]

Correct Answer: (b) 95.31%
Solution:

43. A hollow cube is made of paper to have a volume of 512 cubic units. How much paper in square units will be required to make the cube? [SSC CHSL Tier II (10/01/2024)]

Correct Answer: (d) 384
Solution:

44. A box's right rectangular measurements are 1.6 m long, 90 cm wide, 60 cm in height. Soap cakes of measurement 6 cm x 5 cm x 40 mm are to be packed in the box, so that no space is left. How many cakes can be packed in the box? [SSC CHSL Tier II (10/01/2024)]

Correct Answer: (d) 7200
Solution:

45. The ratio of the length, width and height of a closed cuboid is given as 6 : 3 : 2. The total surface area of this cuboid is given as 1800 cm². Find the volume (in cm³) of this cuboid. [SSC CGL Tier II (26/10/2023)]

Correct Answer: (c) 4500
Solution:

46. A solid cube, whose each edge is of length 48 cm, is melted. Identical solid cubes, each of volume 64 cm³, are made out of this molten cube, without any wastage. How many such small cubes are obtained ? [SSC CGL Tier II (26/10/2023)]

Correct Answer: (a) 1728
Solution:

47. The cost of painting the total surface area of a 30 m high solid right circular cylinder at the rate of ₹25 per m² is 18,425. What is the volume (in m³) of this cylinder [Use π = 22/7] [SSC CPO 03/10/2023 (2nd Shift)]

Correct Answer: (b) 1155
Solution:

48. What will be the difference between the total surface area and the curved surface area of a hemisphere having 4 cm diameter ? [SSC CPO 03/10/2023 (2nd Shift)]

Correct Answer: (c) 4π cm²
Solution:

49. A conical shape vessel has a radius of 21 cm and has a slant height of 25 cm. If the curved part of the vessel is to be painted white, find the cost (in ₹) of painting at the rate of ₹1.5 per cm². [SSC CPO 03/10/2023 (2nd Shift)]

Correct Answer: (a) 2475
Solution:

50. A solid sphere made of wax of radius 12 cm is melted and cast into solid hemispheres of radius 4 cm each. Find the number of such solid hemispheres. [SSC CPO 03/10/2023 (3rd Shift)]

Correct Answer: (b) 54
Solution: