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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Chapter2: Second-order Linear Odes
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Question 3
Enjoy answering the questions about "edible volumes". O
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 square cake
a sausage
a carafe of orange juice
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 corect 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 Califomian chef created a bagel with the same circle 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?
Transcribed Image Text:Question 3 Enjoy answering the questions about "edible volumes". O 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 square cake a sausage a carafe of orange juice 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 corect 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 Califomian chef created a bagel with the same circle 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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