Volume of a Cyliner - High school

How high should a cylindrical water tank be to hold 2034.72 cubic feet of water if its diameter is 12 feet? If one cubic foot is about 7.5 gallons, then how many gallons of water can the tank hold?

Answer:
Length = 18 feet
Volume in gallons = 15260.4 gallons

Explanation:

The volume of a cylinder is:

Since the problem is giving the diameter, we must find what the radius is before we can solve the requirement. The radius is always half the diameter so it will be 6 ft. To find the height we must substitute:

To find the volume in gallons, multiply the total volume in cubic feet by the 7.5 gallons per 1 cubic feet as follows:

Note that the cubic feet units cancel and we are left with gallons.



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