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Sunday, August 24, 2014

More Cylinder Problems, 4

Category: Solid Geometry

"Published in Newark, California, USA"

The average depth of a lake is estimated to be 40 ft. If the surface area is 15 acres, find the volume of water in the lake. (1 acre = 43,560 sq. ft.)

Photo by Math Principles in Everyday Life

Solution:

Consider the given figure above

Photo by Math Principles in Everyday Life

Let's assume that the lake is in a shape of a cylinder. Since the surface area of a lake as well as the estimated depth are given in the problem, then we can get the volume of water in the lake as follows





Therefore, the volume of water in the lake is