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Thursday, August 21, 2014

More Cylinder Problems, 2

Category: Solid Geometry

"Published in Newark, California, USA"

During a rain, ¼ in. of water fell. Find how many gallons of water fell on a level 10-acre park. (Take 1 cu. ft. = 7.48 gals. and 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 thickness of the rainwater within the level 10-acre park is ¼ in. Since the thickness of the rainwater is uniform, then the given figure is considered as a cylinder. 

In this case, the area of the base which is the level 10-acre park in square feet is



The volume of the rainwater which is a cylinder is





Therefore, the volume of the rainwater in gallons is