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Arithmetic Aptitude :: Volumes

  1. The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is?
  2. A.
    3
    B.
    4
    C.
    5
    D.
    6

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  3. The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is?
  4. A.
    4/3 times its radius
    B.
    2/3 times its radius
    C.
    Equal to it's radius
    D.
    Equal to it's diameter

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  5. A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is
  6. A.
    3: 5
    B.
    2: 5
    C.
    3: 1
    D.
    1: 3

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  7. The radii of two spheres are in the ratio 1: 2. The ratio of their surface areas is?
  8. A.
    1 : 2
    B.
    1 : 4
    C.
    1 : 1.414
    D.
    3: 8

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  9. A spherical lead ball of radius 10cm is melted and small lead balls of radius 5mm are made. The total number of possible small lead balls is?
  10. A.
    800
    B.
    125
    C.
    400
    D.
    8000

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  11. If the volume and surface area of a sphere is numerically the same then it's radius is
  12. A.
    1 unit
    B.
    2 units
    C.
    3 units
    D.
    4 units

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  13. The radii of two cylinders are in the ratio of 2: 3 and their heights are in the ratio 5: 3. The ratio of their volumes is:
  14. A.
    27: 20
    B.
    20: 27
    C.
    4 : 9
    D.
    9 : 4

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  15. A cylindrical piece of metal of radius 2 cm and height 6cm is shaped into a cone of the same radius. The height of the cone is:
  16. A.
    18 cm
    B.
    14 cm
    C.
    12 cm
    D.
    8 cm

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  17. If a right circular cone of vertical height 24 cm has a volume of 132 cm3, then the area of its curved surface is:
  18. A.
    1254 cm2
    B.
    704 cm2
    C.
    550 cm2
    D.
    154 cm2

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  19. If the volumes of two cones are in the ratio 1: 4 and their diameters are in the ratio 4: 5, then the ratio of their heights is?
  20. A.
    1 : 5
    B.
    5 : 4
    C.
    5 : 16
    D.
    25 : 64

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