Calculating volumes by plane slicing

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2. Generating Solids of Revolution
Using play­doh, and a skewer as the axis of rotation, build the solid generated when the indicated
plane region is revolved about the given line.
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4. Calculating Volumes
From Flickr by williewonker
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5. Calculate the volume of the following items, with the given restriction.
1. Deck of playing cards. You may only measure one card.
Find volume of one card by, finding cross­sectional area of one card, multiplied by thickness of the card.
Count number of cards (52).
Multiply volume of one card by a52.
2. A roll of pennies. You may only measure one penny.
Volume of one penny = Cross­sectional area (circle = ∏r2) times thickness of penny.
Count number of pennies in roll.
Multiply volume of one penny times number of pennies in roll.
3. A rectangular loaf of bread. You may only measure one slice of bread.
Find volume of one slice of bread by, finding cross­sectional area of slice (A = bh),
multiplied by thickness of the slice of bread.
Count number of slices of bread in the loaf.
Multiply volume of one slice by number of slices in loaf.
4. A circular cylinder of rice cakes. You may only measure one rice cake.
Volume of one rice cake = Cross­sectional area (circle = ∏r2) times thickness of cake.
Count number of rice cakes in package
Multiply volume of one rice cake by number of rice cakes in package.
*** Each item above had a cross­sectional area that was ____________________.
What if you were asked to find the volume of a solid with a variable cross­sectional area.
5. ________________________, with n slices of with equal thickness.
.................. Sounds like a job for ..........
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