Table 2 - Direct MeasurementTrialM&M Thickness (CM)10.64220.74130.683

Table 3 - Calculated AveragesMethodCalculated Average Thickness (cm)Indirect (from Table 1).728 cm Direct (from Table 2).689 cm

Questions:

1. When you performed Step 2 of the procedure, you actually made a cylinder of M&Ms. The cylinder was rather "smushed," and the height of the cylinder was the thickness of an M&M. Recall that the equation for the volume of a cylinder is V = (3.14)r2h.

A. Rearrange the equation for "h." Show your work.

(V)/(3.14r2)=h

B. Using the data from Table 1 and your equation, calculate the average thickness (height) of an M&M for each trial. Record your calculated values in Table 1. Hint: Students often forget that they must use the radius, and not the diameter, in the equation. Copy Table 1 into the assignment.

75=(3.14)(5.672)h

75=100.95h

.743 cm=h

83=(3.14)(6.0852)h

83=116.265h

.713 cm =h

C. You now have two values for the thickness of an M&M in Table 1. Determine the average M&M thickness using these values and record your value in Table 3.

D. You have just determined a value for the thickness of an M&M using the indirect method. What makes this method "indirect"?

The method is indirect because the value was determined through calculations, not actual measurements(direct).

2. When Step 4 of the procedure was performed, a vernier caliper was used to measure the thickness of an M&M.

A. Using the data from Table 2, calculate the average M&M thickness and record your value in Table 3. Copy Table 2 and Table 3 into the assignment.

B. You have just determined a value for the thickness of an M&M using the direct method. What makes this method "direct"?

This method is “direct” because it was directly measured; it was determined by a vernier caliper, not calculations.

3. Which method (indirect or direct) yields the "best" value for the average thickness of an M&M from the package? Explain the reasons for your choice.

The direct method yields the best value for the average thickness of an M&M from the package because the measurements were taken directly. With determining a measurement through calculations, there is always the possibility of one of the other measurements being off thus leading to an inaccurate calculation.

.743 cm Radius (CM)M&M Thickness (CM)