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The Clean-Up Vacuum Company is designing a new upright vacuum cleaner.

  1. What shapes can they use to model this new vacuum cleaner?

    Which 3-dimensional shapes can stand on their own?

    Think of how each piece will be used.

  2. The Clean-Up Vacuum Company has decided to use a cylindrical model for the body of the vacuum. They want it to be feet tall and have a circumference of inches. If only of the cylindrical body can hold the dirt from cleaning, how much dirt can the new upright vacuum hold?

    Use a diagram to visualize the dimensions of the cylinder.

    Recall the equation for the circumference.
    How can that help you determine the radius of the cylinder?

    of the body refers to of the volume.

    cubic inches