Math CentralQuandaries & Queries


Question from thomas, a student:

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 Thorpe‚s volume.

Hi Thomas,

The volume of a cylinder is π r2 h where r is the radius and h is the height. Use this expression to find the volume of water in the pool. When Mr Thorpe climbs in the height (depth) changes to 72 cm so use the volume expression to find the volume of the pool plus Mr Thorpe. The difference is Mr Thorpe's volume.


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