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\large\bf Project Based Math 112, Fall 2001\\
Making Bagels --- Activity, \S 6.2\\[.25in]
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Solids of revolution can be used to model many things---from a tiny thumbtack
to a giant rocket.  Various food items (and the containers that hold them)
can be modeled as solids of revolution.  Today we will focus on bagels.

\smallskip

{\bf 1.} But first, circle the items that can be described using
solids of revolution:
\begin{center}
\begin{tabular}{p{1in}p{1.3in}p{1.2in}p{1.5in}}
doughnut & mug of coffee & turkey & oreo \\
pretzel & banana   & watermelon & sausage \\
curly fry & frosted cupcake & bowl of soup & carafe of orange juice \\
\end{tabular}
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\bigskip

{\bf 2.} Now we are going to model bagels.  Not all bagels are shaped
the same, so we will try a couple of variants.  The bagels that we make
will be obtained by rotating the circle of radius $3/4$ inch centered
at $(3/4,0)$ around a line parallel to the $y$-axis.

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\item What is the volume of the bagel you get when you rotate around the
line $x=0$? \\SET UP BUT DO NOT EVALUATE THE INTEGRAL.

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{\sc Over} $\Longrightarrow$
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\item What is the volume of the bagel you get when you rotate around the
line $x=-1/2$?  \\SET UP BUT DO NOT EVALUATE THE INTEGRAL.

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\item How do these two bagels look different?
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