Mensuration (Part-13)

Total Questions: 50

41. What is the difference in the volume (in cm³) of a sphere of radius 7 cm and that of a cone of a radius 7 cm and height of 10 cm? [Use π = 22/7] [SSC CGL 12/04/2022 (Morning)]

Correct Answer: (c) 924
Solution:

42. If the length of a diagonal of a square is (a + b), then the area of the square is: [SSC CGL 13/04/2022 (Morning)]

Correct Answer: (b)
Solution:

43. Let x cm² be the surface area and y cm³ be the volume of a sphere such that y = 14x. What is the radius (in cm) of the sphere? [SSC CGL 13/04/2022 (Evening)]

Correct Answer: (b) 42
Solution:

44. A hemispherical depression of diameter 4 cm is cut out from each face of a cubical block of sides 10 cm. Find the surface area of the remaining solid (in cm²) (Use π = 22/7) [SSC CGL 18/04/2022 (Morning)]

Correct Answer: (c)
Solution:

45. The area of a cardboard(in cm²) needed to make a closed box of size 20 cm x 10 cm x 8 cm will be: [SSC CGL 18/04/2022 (Evening)]

Correct Answer: (a) 880
Solution:

46. Explain it- [SSC CGL 19/04/2022 (Morning)]

Correct Answer: (b) 7
Solution:

47. The length of a wire (in cm) of 0.1mm radius that can be drawn from melting a solid copper sphere of a diameter 6 cm is: [SSC CGL 19/04/2022 (Evening)]

Correct Answer: (b) 360000
Solution:

48. The inner circumference of a circular path enclosed between two concentric circles is 264m. The uniform width of the circular path is 3m. What is the area (in m², to the nearest whole number) of the path ?. (Use π = 22/7) [SSC CGL 20/04/2022 (Morning)]

Correct Answer: (c) 820
Solution:

49. The total surface area of a right pyramid, with base as a square of side 8 cm, is 208 cm². What is the slant height (in cm) of the pyramid? [SSC CGL 20/04/2022 (Afternoon)]

Correct Answer: (c) 9
Solution:

50. A 22.5 m high tent is the shape of a frustum of a cone surmounted by a hemisphere. If the diameter of the upper and the lower circular end of the frustum are 21 m and 39 m respectively, then find the areas of the cloth (in m²) used to make the tent (ignoring the wastage). [SSC CGL 21/04/2022(Evening)]

Correct Answer: (b)
Solution: