Mensuration (Part-11)

Total Questions: 50

31. The diagonal of the square is 8√2 cm. Find the diagonal of another square whose area is triple that of the first square. [SSC CGL 06/12/2022 (4th Shift)]

Correct Answer: (d) 8√6 cm
Solution:

32. Steel is used to make a hemispherical bowl that is 0.37 cm thick. The bowl's inner radius is 6 cm. Find the bowl's outer curved surface area (take π = 22/7) . [SSC CGL 07/12/2022 (1st Shift)]

Correct Answer: (b) 255.0548 cm²
Solution:

33. An iron rod with diameter 4 cm and length 12 cm is drawn into a wire of length 12 m of uniform thickness. Determine the thickness of the wire. [SSC CGL 08/12/2022 (2nd Shift)]

Correct Answer: (d) 0.4 cm
Solution:

34. A solid cone of height 42 cm with diameter of its base 42 cm is cut out from a wooden solid sphere of radius 24 cm. Find the percentage of wood wasted correct to two places of decimal. [SSC CGL 09/12/2022 (1st Shift)]

Correct Answer: (c) 66.50%
Solution:

35. The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube ? [SSC CGL 09/12/2022 (2nd Shift)]

Correct Answer: (a) 11.50 cm³
Solution:

36. The curved surface area of a right circular cone of base radius 21 cm is 594 sq cm. What is the slant height of the cone? [SSC CGL 09/12/2022 (3rd Shift)]

Correct Answer: (c) 9 cm
Solution:

37. The number of solid spheres, each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 90 cm and diameter 4 cm is: [SSC CGL 09/12/2022 (4th Shift)]

Correct Answer: (a) 10
Solution:

38. The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (Use π = 22/7) [SSC CGL 12/12/2022 (2nd Shift)]

Correct Answer: (b) 359.3 cm³
Solution:

39. Area of the floor of a cubical room is 64 m². The length of the longest rod that can be kept in the room is: [SSC CGL 12/12/2022 (3rd Shift)]

Correct Answer: (d) 8√3 m
Solution:

40. A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with internal radius 15 cm, what will be the height to which the water rises in it? [SSC CGL 12/12/2022 (4th Shift)]

Correct Answer: (a) 16 cm
Solution: