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Monday, August 25, 2014

More Cylinder Problems, 5

Category: Solid Geometry

"Published in Newark, California, USA"

An indoor roller skating rink with an area of 1,500 sq. yd. has a concrete flooring 3 in. thick. Find the amount of concrete used in laying the floor.

Photo by Math Principles in Everyday Life

Solution:

Consider the given figure above 
 
Photo by Math Principles in Everyday Life

The floor for the roller skating rink must be smooth and uniform in thickness. If the thickness of the floor is the same within the roller skating rink, then it is considered a cylinder.
Since the surface area of a roller skating rink as well as the thickness are given in the problem, then we can get the amount of concrete which is the volume of a cylinder used in laying the floor as follows





Therefore, the amount of concrete required for laying the floor is