Volume & Surface Area Questions and Answers
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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99 questions
41. Three sphereical metal balls of radii 6 cm, 8 cm and R cm are melted into a solid sphere of rdius 12 cm. The value of R is :
- 8 cm
- 10 cm
- 14 cm
- 18 cm
42. If the volume of a sphere is divided by its surface area, the result is 27 cm. The radius of the sphere is :
- 81 cm
- 9 cm
- 54 cm
- 36 cm
43. A cone and a sphere have equal radii and equal volumes. The ratio of the diameter of the sphere to the height of the cone is :
- 3 : 1
- 1 : 3
- 6 : 1
- 1 : 2
44. The radius of a sphere is increased by 50%. The increase in the surface area of the sphere is :
- 100%
- 125 %
- 150 %
- None
45. How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bulet being 2 cm in diameter ?
- 5324
- 2662
- 1347
- 2541
46. A Spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls. the diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is :
- 2.66 cm
- 2.5 cm
- 3 cm
- 3.5 cm
47. If the radius of a sphere is doubled, then its surface area is increased by :
- 50%
- 100%
- 200%
- 300%
48. If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the radius of each such ball is :
- 1.25 cm
- 2.5 cm
- 3.75 cm
- 5 cm
49. How many lead shots each 0.3 cm in diameter can be made from a cuboid of dimensions 9 cm x 11 cm x 12 cm ?
- 7200
- 8400
- 84000
- 72000
50. A metallic right circular cones having their heights 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each, have been melted together and recast into a sphere. the diameter of the sphere is :
- 4.2 cm
- 1.4 cm
- 3.5 cm
- 6.3 cm