Mensuration (Part-6)

Total Questions: 50

41. The cost of painting a spherical vessel of diameter 14 cm is ₹21,560. What is the cost of painting (in) per 22 square centimetre ? (Use π = 22/7) [SSC CPO 28/06/2024 (1st Shift)]

Correct Answer: (d) 35
Solution:

42. The radius of the base and height of a cone are 5 cm and 6 cm, respectively, whereas the radius of the base and height of a cylinder are 2.5 cm and 3 cm, respectively. The ratio of the volume of the cone to that of the cylinder is: (Where π = 22/7) [SSC CPO 28/06/2024 (1st Shift)]

Correct Answer: (c) 8 : 3
Solution:

43. A cylinder of radius 7 cm has a curved surface area of 2200cm². Find its total surface area. (Use π = 22/7) [SSC CPO 28/06/2024 (2nd Shift)]

Correct Answer: (a) 2508 cm²
Solution:

44. A hollow sphere of external and internal diameters of 10 cm and 6 cm, respectively, is melted and made into another solid in the shape of a right circular cone of base diameter 10 cm. Find the height of the cone. [SSC CPO 28/06/2024 (2nd Shift)]

Correct Answer: (d) 15.68 cm
Solution:

45. A spherical box has a surface area 528 cm². Find the radius of the spherical box. [SSC CPO 28/06/2024 (2nd Shift)]

Correct Answer: (b) √42 cm
Solution:

46. The distance between the parallel sides of a trapezium is 18 cm. If the area of the trapezium is 1188 cm², then what is the sum of the lengths of the parallel sides? [SSC CPO 28/06/2024 (3rd Shift)]

Correct Answer: (d) 132 cm
Solution:

47. The area of the canvas cloth needed to erect a right conical tent of height 20ft. and circular base of circumference 30π ft. is: [SSC CPO 28/06/2024 (3rd Shift)]

Correct Answer: (b) 375π sq.ft.
Solution:

48. The volume of a right circular cone is 150π cm³ and its height is 18 cm. Find its slant height (in cm) (correct to 2 decimal places). [SSC CPO 28/06/2024 (3rd Shift)]

Correct Answer: (a) 18.68
Solution:

49. A school has two rectangular playgrounds, which are similar in shape. If the length and the breadth of the first playground are given as 224 m and 160 m, respectively, then which of the following options CANNOT be the dimensions of the second playground? [SSC CPO 29/06/2024 (1st Shift)]

Correct Answer: (d) Length = 343 m; Breadth = 255 m
Solution:

50. The height and radius of a cone-shaped storage tank are 9 ft. and 7 ft., respectively. Find the volume of water the tank can hold ? (Use π = 22/7) [SSC CPO 29/06/2024 (1st Shift)]

Correct Answer: (a) 462 cubic ft.
Solution: