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Now consider the bottle shown at the right. To find the bottle’s volume in a similar manner, we turn it on its side, use a measuring device to take vertical measurements of the radii, and proceed as we did with the urn.
The table of measurements is as follows.
x (in inches) | y (in inches) |
0 | 1.125 |
1 | 1.275 |
2 | 1.250 |
3 | 1.275 |
4 | 1.275 |
5 | 1.125 |
6 | 1.000 |
7 | 0.875 |
8 | 0.750 |
9 | 0.500 |
10 | 0.500 |
To determine the volume of the bottle’s base, extend the x-axis 0.015 unit to the left of 0. The total volume of the plastic that forms the bottle can then be found by first
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