Solids of revolution can be used to model many things, from tiny bolts to giant pillars. Today we will use them to model food items. 1. Decide as a group which of the following items can be described using solids of revolution a doughnut a pretzel a curly fry a cup of cocoa a bagel a bowl of soup a turkey a watermelon a carafe of orange juice a square cake a sausage a frosted cupcake 2 Now we're going to make bagels, but instead of kneading dough for countless hours, we ll simply use solids of revolution. As every cook knows, you need to rotate a circle in order to make a bagel, but the subtleties of rotating circles often elude novice cooks. The diagram illustrates the most common mistake when making bagels. Describe what the problem is and how to correct it. The "standard" bagel has always been the one obtained by rotating the circle of radius inch centered at (, 0) around the line x = -1. Recently, a Califormian chef created a bagel with the same circele but rotated around the line x = -2. (a) Physically, what's the difference between the two bagels? (b) What are the volumes of the standard and Californian bagels?

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