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A flag in the shape of a quarter-circle is shown at right.

Horizontal segment, with shaded top right quarter of a circle, above the segment, with its radius, labeled 5, on the right third of the segment.

  1. Imagine rotating the flag about its pole and describe the resulting three-dimensional figure. Draw a picture of this figure on your paper.

    What three-dimensional figure does this shape remind you of?

  1. Calculate the volume of the rotated flag.

    What is the formula for the volume of a sphere?

    How would you determine the volume of half of a sphere?

Use the eTool below to visualize the rotating flag.
Click the link at right for the full version of the eTool: Calc 1-120 HW eTool