Volume & Surface Area Questions and Answers

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Quantitative Aptitude - Volume & Surface Area Questions with Answers teach methods to calculate 3D objects efficiently. Volume & Surface Area Aptitude is important for IBPS, SBI Clerk, and SSC exams, enhancing analytical and geometric reasoning skills.

Volume & Surface Area

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51. A sphere of radius 6.3 cm is melted and cast into a right circular cone of height 25.2 cm. The radius of the base of the cone is :

  • 4.2 cm
  • 1.4 cm
  • 3.5 cm
  • 6.3 cm
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52. If the height and diameter of a right circular cylinder are 32 cm and 6 to the volume of the cylinder is :

  • 3 cm
  • 4 cm
  • 6 cm
  • None
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53. A hemisphere of lead of radius 6 cm is cast into a right circular cone of height  75 cm. The radius of the base of the cone is :

  • 1.4 cm
  • 2 cm
  • 2.4 cm
  • 4.2 cm
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54. The diameter and the slant height of a conical tomb are 28 m and 50 m respectively. The cost of whitewashing its curved surface at the rate of 80 paise per square metre is :

  • Rs, 2640
  • Rs. 1760
  • Rs. 264
  • Rs. 176
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55. The height and the radius of the base of a cone are each increased by 100%. The volume of the new cone becomes how many times of the volume of the original cone ?

  • 8 times
  • 6 times
  • 4 times
  • 3 times
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56. A right cylinder and a righ circular cone have the same radius and the same volume. The ratio of the height f the cylinder to that of the cone is :

  • 3 : 5
  • 2 : 5
  • 3 : 1
  • 1 : 3
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57. A right cylindrical vessel is full of water. How many right cones having the same radius and heights as those of the right cylinder will be needed to store that water ?

  • 2
  • 3
  • 4
  • 8
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58. A cylindrical piece of metal of radius 2 cm and height 6 cm is shaped into a cone of same radius. The height of the cone is :

  • 8 cm
  • 12 cm
  • 14 cm
  • 18 cm
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59. The  length of canvas 1.1 m wider required to build a coical tent of height 14 m and the floor area 346.5 sq.m is :

  • 525 m
  • 490 m
  • 665 m
  • 860 m
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60. How many metres of cloth 2.5 m wide will be required to make a conical tent whose base radius is 7 m and height is 24 m ?

  • 120 m
  • 180 m
  • 220 m
  • 550 m
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