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Posted by on Tuesday, April 3, 2012 at 4:53am.

A circular pool has a diameter of 3m and is filled to a depth of 70 cm. Mr Thorpe climbs into the pool and submerges for ten seconds while his son measures the new depth at 72 cm. Calculate Mr Thorpeā€™s volume

  • math - , Tuesday, April 3, 2012 at 7:47am

    According to Archimedes, Mr. Thorpe displaced his own volume.

    old volume of pool = π(1.5)^2 (.70) = 1.575π m^3
    volume after he stepped in = π(1.5)^2 (.72) = 1.62π m^3
    difference
    = Mr. Thorpes' volume
    = .045P m^3 or 45000π cm^3

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