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
31. A cylindrical vessel of radius 8 cm contains water. A solid sphere of radius 6 cm is lowered into the watet until it is completely imersed. The water level in the vessel will rise by :
- 3.5 cm
- 4.5 cm
- 4 cm
- 7 cm
32. The curved surface area of a cylindrical pillar is 528 sq.m and its volume is 2772 cu.m. the height of the pillar is :
- 10.5 m
- 7.5 m
- 8 m
- 5.25 m
33. The number of solid spheres, ech of diameter 3 cm that could be moulded to form a solid cylinder of height 54 cm and diameter 4 cm, is :
- 16
- 24
- 36
- 48
34. The rdius of a wire is decreased to one-third and its volume remains thesame. the new length is how many times the original length ?
- 1 time
- 3 times
- 6 times
- 9 times
35. Two cylindrical vessels with radii 15 cm and 10 cm and heights 35 cm and 15 cm respectively are filled with water. if this water is poured into a cylindrical vessel 15 cm in height, then the radius of the vessel is :
- 17.5 cm
- 18 cm
- 20 cm
- 25 cm
36. If 1 cubic cm of cast iron weighs 21 gms, then the weight of a cast iron pipe of length 1 metre with a bore of 3 cm and in which the thickness of the metal is 1 cm, is :
- 18.6 kg
- 21 kg
- 24.2 kg
- 26.4 kg
37. If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of thereduced cylinder to that of th original one ?
- 1 : 4
- 1 : 8
- 1 : 2
- 8 : 1
38. In What ratio are the voumes of a cylinder, a cone and a sphere, if each has the same diameter and the same height ?
- 1 : 3 : 2
- 2 : 3 : 1
- 3 : 1 : 2
- 3 : 2 : 1
39. The radius of a sphere is R and the radius of the base as well as the height of a cylinder is R. The ratio of the volume of the sphere to that of the cylinder is :
- 4 : 3
- 3 : 4
- 2 : 3
- 3 : 2
40. Two cylindrical jars have their diameters in the ratio of 3 : 1 and their heights in the ratio of 1 : 3. the volumes are in the ratio of :
- 1 : 2
- 3 : 1
- 3 : 4
- 2 : 3