Mensuration (Part-14)

Total Questions: 50

41. The sum of the height and radius of the base of a solid right circular cylinder is 46 cm. If the total surface area of the solid cylinder is 6072 cm² what is the volume (in cm³) of the cylinder ? [SSC MTS 20/10/2021 (Evening)]

Correct Answer: (a) 11025 π
Solution:

42. A solid right circular cone is cut into two parts by a plane parallel to its base and at a point one-third vertically below its vertex. What is the ratio of the volume of the smaller cone to that of the whole cone? [SSC MTS 20/10/2021 (Evening)]

Correct Answer: (c) 1/27
Solution:

43. A horse racecourse is in the form of an annular ring whose outer and inner circumferences are 748 m and 396 m, respectively. The width (in m) of the racecourse is: (π = 22/7) [SSC MTS 22/10/2021 (Morning)]

Correct Answer: (c) 56
Solution:

44. A hall is 18 m long and 12 m broad. If the area of the floor is equal to the sum of the areas of the four walls, the volume (in m³) of the hall is: [SSC MTS 22/10/2021 (Evening)]

Correct Answer: (b) 777.6
Solution:

45. The area of a triangular field with sides 60 m, 175 m and 185 m is equal to that of a rectangular park whose sides are in the ratio of 21:10. The perimeter (in m) of the park is: [SSC MTS 26/10/2021 (Afternoon)]

Correct Answer: (d) 310
Solution:

46. A circular wire of diameter 56 cm is folded in the shape of a rectangle whose sides are in the ratio 7 : 4. The area enclosed by the rectangle is: [SSC MTS 26/10/2021 (Evening)]

Correct Answer: (b) 1792
Solution:

47. A solid metallic toy has a hemispherical base with radius 3.5 cm surmounted by a cone. If the height of the cone is the same as the radius of its base, then the volume of metal used in cm³ [SSC MTS 27/10/2021 (Morning)]

Correct Answer: (c)
Solution:

48. A bucket in the shape of the frustum of a cone has its top and bottom radii as 20 cm and 10 cm, respectively. The depth of the bucket is 24 cm. The capacity of the bucket (in cm³) is: (π = 22/7) [SSC MTS 02/11/2021 (Morning)]

Correct Answer: (d) 17600 cm³
Solution:

49. A rectangle of dimension 10 cm and 5 cm is placed adjacent to another rectangle of the same size to draw an L shape figure. Find the perimeter of the shape so formed. [SSC MTS 02/11/2021 (Morning)]

Correct Answer: (c) 50
Solution:

50. The total surface area of a hemisphere is nearly equal to that of an equilateral triangle. The side of the triangle is how many times (approximately) of the radius of the hemisphere? [SSC MTS 02/11/2021 (Evening)]

Correct Answer: (d)
Solution: