SEARCH HOME
Math CentralQuandaries & Queries

search

Question from Jordan:

How much water could my well hold if the depth of the well is 30 feet feet and the diameter of the well is 24 feet ?

Hi Jordan,

The volume $V$ of a circular cylinder, which is the shape of your well, is given by

\[V = \pi \; r^2 h\]

where $r$ is the radius of the cylinder and $h$ is its height. Since your measurements are in feet, $V$ will be in cubic feet. I am a Mac user so if I wanted the volume in gallons I would ask Siri "Hey Siri what is $V$ cubic feet in gallons?"

To determine the actual volume of water in the well you would have to use the calculation above with $h$ being the height of the water in the well.

Penny

About Math Central
 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS