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A test tube has lower part hemispherical...

A test tube has lower part hemispherical and upper part cylindrical with the same radius. If `(5159)/6 cm^3` of water is poured, the test tube will be completely filled . But if `(2002)/3cm^3` of water is poured , 5 cm of height will remain empty .Calculate the radius of the tube and the height of the cylindrical part.

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The correct Answer is:
`:.` Radius of test tube is 3.5 cm and height of cylindrical part is 20 cm.
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