Volume & Surface Area Questions and Answers

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Q31
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 :
  • A 3.5 cm
  • B 4.5 cm
  • C 4 cm
  • D 7 cm
Answer: Option B
Q32
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 :
  • A 10.5 m
  • B 7.5 m
  • C 8 m
  • D 5.25 m
Answer: Option C
Q33
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 :
  • A 16
  • B 24
  • C 36
  • D 48
Answer: Option D
Q34
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 ?
  • A 1 time
  • B 3 times
  • C 6 times
  • D 9 times
Answer: Option D
Q35
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 :
  • A 17.5 cm
  • B 18 cm
  • C 20 cm
  • D 25 cm
Answer: Option D
Q36
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 :
  • A 18.6 kg
  • B 21 kg
  • C 24.2 kg
  • D 26.4 kg
Answer: Option D
Q37
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 ?
  • A 1 : 4
  • B 1 : 8
  • C 1 : 2
  • D 8 : 1
Answer: Option A
Q38
In What ratio are the voumes of a cylinder, a cone and a sphere, if each has the same diameter and the same height ?
  • A 1 : 3 : 2
  • B 2 : 3 : 1
  • C 3 : 1 : 2
  • D 3 : 2 : 1
Answer: Option C
Q39
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 :
  • A 4 : 3
  • B 3 : 4
  • C 2 : 3
  • D 3 : 2
Answer: Option A
Q40
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 :
  • A 1 : 2
  • B 3 : 1
  • C 3 : 4
  • D 2 : 3
Answer: Option B
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