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Aptitude Volume and Surface Area Test Paper 3


11) If the curved surface area of a sphere is same as the curved surface area of a hemisphere, find the radius of the hemisphere.

  1. Same as that of the sphere.
  2. Apti Volume and Surface Area times that of the sphere.
  3. Apti Volume and Surface Area times that of the sphere.
  4. 2 times that of the sphere.

Answer: B

Explanation:

Curved surface area of a sphere = Curved surface area of a hemisphere
              4 π R2= 2 π r2
                 2 R2= r2
Radius of hemisphere i.e. 'r' = Apti Volume and Surface Area= Apti Volume and Surface Area R



12) The radii of two cylinders are in the ratio of 2: 3 and their heights are in the ratio of 5: 3. The ratio of their volume is

  1. 4: 9
  2. 9: 4
  3. 20: 27
  4. 20: 25

Answer: C

Explanation:

Let the radius of both cylinders be 2x and 3x.
Let the height of both cylinders be 5y and 3y.
Ratio of the volume of two cylinders Apti Volume and Surface Area
Ratio = 20: 27


13) The radius of road roller is 1 meter and length 7/22 meter. When it is rolled on a ground then it rolls 500 times to level the ground. But it was found that on 5% part of the ground, roller rolled twice. What is the total area of the ground?

  1. 1000/Π2 m2
  2. 975 Apti Volume and Surface Area m2
  3. 975 m2
  4. 950 m2

Answer: D

Explanation:

Let the area of the ground = x meter
The area covered in 1 revolution by the roller = 2Πrl
Apti Volume and Surface Area


14) A copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. The length of the wire is

  1. 9 m
  2. 12 m
  3. 18 m
  4. 36 m

Answer: D

Explanation:

Radius of wire =Apti Volume and Surface Area = 0.1

Volume of sphere = Volume of cylinder
Apti Volume and Surface Area


15) A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted to form a solid cylinder of base diameter 8 cm. What is the height of the cylinder?

  1. 4.5 cm
  2. 4.57 cm
  3. 4.67 cm
  4. 4.7 cm

Answer: C

Explanation:

Let the height of the cylinder be h.
According to question:
Volume of cylinder = Volume of hollow sphere
Apti Volume and Surface Area


Aptitude Volume and Surface Area Test Paper 1
Aptitude Volume and Surface Area Test Paper 2
Aptitude Volume and Surface Area Test Paper 4
Aptitude Volume and Surface Area Test Paper 5





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