CPM Homework Help : CALC Problem 1-60

When the flag below is rotated it has a volume of un³. Homework Help ✎
1. Describe the resultant three-dimensional figure.
2. What is the value of d?
3. If the diagram was rotated 90° and the flag was then rotated about a horizontal pole, would the volume change?

Hint (a):

Use the eTool below to visualize the rotating flag.
Click the link at right for the full version of the eTool: Calc 1-60 HW eTool

Hint (b):

$\frac{243}{2}\pi =\frac{4}{3}\pi r^{3}$

More Help (b):

$r=\frac{1}{2}d$

Hint (c):

Build a model by taping a paper flag to a pencil. Try holding the pencil in different positions. Does the size or shape of the resultant solid change when the pencil is held horizontally vs. vertically?