Volume and Table
Volume (CM3)
Diameter (CM)
Radius (CM)
M&M'S® Thickness (CM)
1
75 108
54
0.743
2
83 120
60
0.658
Table 2 – Direct Measurement
Trial
M&M’S® Thickness (CM)
1
0.642
2
0.741
3
0.683 Table 3 – Calculated Averages
Method
Calculated Average Thickness (CM)
Indirect (from Table 1)
0.701
Direct (from Table 2)
0.689
Questions:
1. When you performed Step 2 of the procedure, you actually made a cylinder of M&M'S®. The cylinder was rather "smushed," and the height of the cylinder was the thickness of an M&M'S®. 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/(3.14)r2 = h
B. Using the data from Table 1 and your equation, calculate the average thickness (height) of an M&M'S® 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.
Table 1 - Indirect Measurement
Trial
Volume (CM3)
Diameter (CM)
Radius (CM)
M&M'S® Thickness (CM)
1
75 108
54
0.743
2
83 120
60
0.658
C. You now have two values for the thickness of an M&M'S® in Table 1. Determine the average M&M'S® thickness using these values and record your value in Table 3.
I placed the values in table 3.
D. You have just determined a value for the thickness of an M&M'S® using the indirect method. What makes this method "indirect"?
I did not use tangible M&M’S to receive my mesurements in table 1.
2. When Step 4 of the procedure was performed, a vernier caliper was used to measure the thickness of an M&M'S®.
A. Using the data from Table 2, calculate the average M&M'S® thickness and record your value in Table 3. Copy Table 2 and Table 3 into the assignment.
Table 2 – Direct Measurement
Trial
M&M’S® Thickness (CM)
1
0.642
2
0.741
3
0.683 Table 3 – Calculated Averages
Method
Calculated Average Thickness (CM)
Diameter (CM)
Radius (CM)
M&M'S® Thickness (CM)
1
75 108
54
0.743
2
83 120
60
0.658
Table 2 – Direct Measurement
Trial
M&M’S® Thickness (CM)
1
0.642
2
0.741
3
0.683 Table 3 – Calculated Averages
Method
Calculated Average Thickness (CM)
Indirect (from Table 1)
0.701
Direct (from Table 2)
0.689
Questions:
1. When you performed Step 2 of the procedure, you actually made a cylinder of M&M'S®. The cylinder was rather "smushed," and the height of the cylinder was the thickness of an M&M'S®. 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/(3.14)r2 = h
B. Using the data from Table 1 and your equation, calculate the average thickness (height) of an M&M'S® 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.
Table 1 - Indirect Measurement
Trial
Volume (CM3)
Diameter (CM)
Radius (CM)
M&M'S® Thickness (CM)
1
75 108
54
0.743
2
83 120
60
0.658
C. You now have two values for the thickness of an M&M'S® in Table 1. Determine the average M&M'S® thickness using these values and record your value in Table 3.
I placed the values in table 3.
D. You have just determined a value for the thickness of an M&M'S® using the indirect method. What makes this method "indirect"?
I did not use tangible M&M’S to receive my mesurements in table 1.
2. When Step 4 of the procedure was performed, a vernier caliper was used to measure the thickness of an M&M'S®.
A. Using the data from Table 2, calculate the average M&M'S® thickness and record your value in Table 3. Copy Table 2 and Table 3 into the assignment.
Table 2 – Direct Measurement
Trial
M&M’S® Thickness (CM)
1
0.642
2
0.741
3
0.683 Table 3 – Calculated Averages
Method
Calculated Average Thickness (CM)