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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
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35 cm 3
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17 cm 3 -
7 cm 3 -
14 cm 3
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Correct Option: C
Increase in water level = | ||
Area of base of cylinder |
= | πr³ | |
3 | ||
πr² |
= | r = | × 3.5 = | cm | |||
3 | 3 | 3 |
∴ Required water level = 7 - | = | cm. | ||
3 | 3 |