CPM Homework Help : CALC Problem 4-113

A horizontal flag is shown below.

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

Answer (a):

Imagine a cylinder with cones carved out of the top and bottom.

Hint (b):

Steps (b):

$\text{Volume = cylinder }-2(\text{cone})=\pi r^{2}h-2\left ( \frac{1}{3}\pi r^{2}h \right )$

Answer (b):

$48\pi\text{ units}^{3}$

Use the eTool below to visualize the flag.
Click the link at right for the full version of the eTool: Calc 4-113 HW eTool