BUCKET PROBLEM.

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Presentation transcript:

BUCKET PROBLEM

BUCKET CAPACITY Buckets Unlimited wants to determine some information about bucket capacity. They decide that the standard height of the bucket must be 2ft. They ask a engineer to create a model that shows the capacity of the bucket with a fluctuating radius.

Extensions Make an input/output table based on cubic inches. Make an input/output table based on cubic feet. Create a hypothesis on how to convert between cubic feet and cubic inches. Test your hypothesis. Does it work? Retest if necessary. What were your findings? What worked, what didn’t work? Why?

Graphic Representation Create a graph that represents the cubic inches table. Create a graph that represents the cubic feet table. Explain the differences between the two graphs.

Hint: How do I convert from cubic feet to gallons? 5 Gallon Bucket What would the radius have to be in order to have a 5 gallon capacity? Hint: How do I convert from cubic feet to gallons?

Bucket problem Write an equation that represents the bucket situation.

What are the specs? If 1 cubic foot = 7.48 gallons, how many cubic feet are in 5 gallons? 2. Using the equations you wrote previously for capacity, determine the radius needed for a 5 gallon bucket. Put your answer in terms of both inches and in feet.

5 gallons How many cubic feet are in 5 gallons? What does this number represent? 3. How does this number help in determining the radius of a 5 gallon bucket?

Determining Radius Is there enough information to determine the radius needed at .668 cubic feet capacity (5 gal)? What is the equation for determining radius? Solve for radius.