A cylindrical container with diameter of base 42
cm contains sufficient water to submerge a
rectangular solid of iron with dimensions
22 cm x 14 cm x 10-5 cm. Find the rise in level
of the water when the solid is submerged.
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Step-by-step explanation:
When the solid is submerged in water it displaces its own volume.
The volume of the rectangular block is :
Volume = Length × Width × height
Volume = 22 × 14 × 10.5 = 3234 cm³
The volume of a cylinder = πr²h
The rise in height is :
3234 = 22/7 × (42/2) × h
3234 = 22/7 × 21 × h
3234 = 66h
h = 3234/66
h = 49 cm
The water rises by 49 cm
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