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Thursday, January 29, 2015

Right Circular Cylinder Problems, 10

Category: Solid Geometry

"Published in Vacaville, California, USA"

A cylindrical standpipe is to contain 343,000 gal. of water. If its height is to be twice its diameter, what must be its dimensions?

Solution:

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

Photo by Math Principles in Everyday Life

Since the given volume of water is in gallons, then we have to convert it first into cubic feet as follows

   

Hence, the diameter of a cylindrical standpipe is






and its height is




Therefore, the dimensions of a cylindrical standpipe are d = 30.791030 ft. and h = 61.58206 ft.