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  1. A cylindrical can whose base is horizontal and is of internal radius 3.5 cm contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the can exactly. The depth of water in the can before the sphere was put, is
    1. 35
      cm
      3

    2. 17
      cm
      3
    3. 7
      cm
      3
    4. 14
      cm
      3
Correct Option: C

Increase in water level =
Volume of sphere
Area of base of cylinder

=
4
πr³
3
πr²

=
4
r =
4
× 3.5 =
14
cm
333

∴ Required water level = 7 -
14
=
7
cm.
33



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