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Planets-Are-Us specializes in making spherical piñatas painted to look like planets. Their marketing department needs to provide information for customers about how much candy to order to fill different size piñatas.

  1. The Super Jupiter piñata is the largest piñata, with a radius of feet. If the entire piñata is filled with candy, how many cubic inches of candy can it hold?

    Recall the formula for the volume of a sphere:

    Remember to convert ft3 to in3.

  2. Planets-Are-Us sells many different piñatas, including custom-sized ones, so the Sales Director would like a formula for computing the capacity of any piñata in cubic inches based on its radius in feet. What formula can she use?

    Both the conversion factor and the radius need to cubed in order to convert the units from ft3 to in 3.