A vessel in the form of a hemisphereical...

A vessel in the form of a hemisphereical bowl is full of water. The contents are emptied into a cylinder. The internal radii of the bowl and cylinder are respectively 6cm and 4cm. Find the height of water in the cylinder.

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Let h cm be the height of water in the cylinder.
Then, the volume of water raised =volume of a hemispherical bowl
`pir^2h=2/3pir^3`
`pixx4^2xxh=2/3xxpixx6^3`
`h=9cm`

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