Mensuration (Part-11)

Total Questions: 50

21. In the given figure, a square ABCD is inscribed in a quadrant APCQ. If AB = 16 cm, find the area of the shaded region (take π = 3.14) correct to two places of decimal. [SSC CGL 02/12/2022 (4th Shift)]

Correct Answer: (d) 145.92cm²
Solution:

22. If the volume of a sphere is 24,416.64 cm³, find its surface area (take π=3.14) correct to two places of decimal. [SSC CGL 03/12/2022 (1st Shift)]

Correct Answer: (b) 4069.44 cm²
Solution:

23. The radius of a right circular cylinder is thrice its height. If the height of the cylinder is 2.1 cm, then what is the volume of the cylinder ? [SSC CGL 03/12/2022 (3rd Shift)]

Correct Answer: (d) 261.95 cm³
Solution:

24. A solid copper sphere of radius 9 cm is hammered and moulded into a wire of radius 2 cm. What is the length of this wire? [SSC CGL 03/12/2022 (3rd Shift)]

Correct Answer: (d) 243 cm
Solution:

25. The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube? [SSC CGL 05/12/2022 (1st Shift)]

Correct Answer: (a) 91.98 cm³
Solution:

26. A hollow sphere has an outer radius of 4 cm and inner radius of 1 cm. What is the volume of this hollow sphere? [SSC CGL 05/12/2022 (3rd Shift)]

Correct Answer: (a) 84π cm³
Solution:

27. Three cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is 6√3 cm. [SSC CGL 05/12/2022 (4th Shift)]

Correct Answer: (b) 504 cm²
Solution:

28. A solid hemisphere has radius 21 cm. It is melted to form a cylinder such that the ratio of its curved surace area to total surface area is 2:5. What is the radius (in cm) of its base (take π = 22/7)? [SSC CGL 06/12/2022 (1st Shift)]

Correct Answer: (b) 21
Solution:

29. Calculate the area of a sector of a circle with radius 10 metres and angle of 90 degrees at the centre. [SSC CGL 06/12/2022 (3rd Shift)]

Correct Answer: (c) 78.5 m²
Solution:

30. The ratio of the outer and the inner circumference of a circular path is 5 : 4. If the path is 50 metres wide, then what is the radius of the inner circle? [SSC CGL 06/12/2022 (3rd Shift)]

Correct Answer: (c) 200 metres
Solution: