The first thing to do is determin the radius of the sphere that the lake isOriginally Posted by charps43
a part of. See the attached diagram for details or the crossection of lake
The radius of the sphere can be found from the intersecting cord theorem.
In this case it tells us that:
Having forund the volume of the lake can be found using the
formula for the volume of a spherical cap:
where is the radius of the sphere and is the height of the cap (in this case
the depth of the lake).