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A horizontal flag, composed of a quarter-circle and a rectangle, is shown at right.

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

    If the flag were rotated it would look like a mushroom.

  2. Calculate the volume of the rotated flag.

    Use geometry to find the volume of the resulting three-dimensional figure.

Horizontal segment, with shaded connected quarter circle & horizontal rectangle, such that horizontal radius & bottom edge of rectangle are aligned & centered on the segment, with combined edge labeled 4, quarter circle arc on the left, right edge of rectangle labeled, 1,portion of  vertical radius, above the left connected edge of rectangle labeled, 1.