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  1. A cylindrical vessel of diameter 24 cm contains some water. If two spheres of radii 6 cm each are lowered into the water until they are completely immersed, then the water level (in cm) in the vessel will rise by
    1. 12
    2. 6
    3. 4
    4. 9
Correct Option: C

Volume of the two spheres of radius 6 cm. each

= 2 ×
4
πr³
3

= 2 ×
4
π(6)³
3

= 576 p cu. cm.
According to the question, π × 12 × 12 × h = 576π
⇒ h =
576
= 4 cm.
12 × 12



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