- 16. Your supervisor has assigned you the task of designing a set of measuring spoons with a "futuristic" shape. After considerable effort, you have come up with two geometric shapes that you believe are really interesting.
You make prototypes of five spoons for each shape with different depths and measure the volume each will hold. The following table shows the data you collected.
Depth (d) [cm] | Volume (VA) [mL] Shape A | Volume (VB [ml] Shape B |
0.5 | 1 | 1.2 |
0.9 | 2.5 | 3.3 |
1.3 | 4 | 6.4 |
1.4 | 5 | 7.7 |
1.7 | 7 | 11 |
Use Excel to plot and determine appropriate power models for this data. Use the resulting models to determine the depths of a set of measuring spoons comprising the following volumes for each of the two designs:
Volume Needed (V) [tsp or tbsp] |
Depth of Design A (dA) [cm] |
Depth of Design B (dg [cm] |
¼ tsp | ||
½ tsp | ||
¾ tsp | ||
1 tsp | ||
1 tsp |
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