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Wednesday, January 21, 2015

Right Circular Cylinder Problems, 2

Category: Solid Geometry

"Published in Newark, California, USA"

A paint manufacturer desires a cylindrical steel drum to hold 50 gal. of roof paint. For convenience in handling, it is found necessary to limit the inside diameter to 2½ ft. Find the height of the drum desired. (1 gal. = 231cu. in.)

Solution:

To illustrate the problem, it is better to draw the figure as follows

Photo by Math Principles in Everyday Life

The first thing that we need to do is to convert the given volume which is the amount of paint inside the cylindrical drum in cubic feet as follows


 

Therefore, the height of the drum desired to hold 50 gal. of roof paint is