M&M Lab
Table 1 - Indirect Measurement | Trial | Volume (CM3) | Diameter (CM) | Radius (CM) | M&M Thickness (CM) | 1 | 75 | 11.34 | 5.67 | 0.722 | 2 | 83 | 12.68 | 6.34 | 0.658 |
Table 2 - Direct Measurement | Trial | M&M Thickness (CM) | 1 | 0.642 | 2 | 0.741 | 3 | 0.683 |
Table 3 - Calculated Averages | Method | Calculated Average Thickness (cm) | Indirect (from Table 1) | 0.700 | Direct (from Table 2) | 0.689 |
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= (3.14) r2 h
(3.14)r2
(3.14)r2 ___V___ = _ (3.14)r2 h_
(3.14)r2 __V___ = h
(3.14)r2 h = __V__
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.
Trail 1: h = 75 / (3.14 x 5.67)2 h = 75 / (3.14 x 32.1489) h = 75 / 100.947546 h = 0.743 cm
Trail 2 h = 83 / (3.14 x 6.34)2 h = 83 / (3.14 x 40.1956) h = 83 / 126.214184 h = 0.658 cm
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. (0.743 + 0.658) / 2
= 1.401 / 2
= 0.700 cm
D. You have just determined a value for the thickness of an M&M using the indirect method. What makes this method "indirect"?
I measured the thickness through other means than directly measuring the thickness of a single M&M. 2. When Step 4 of the procedure was performed, a vernier
Table 2 - Direct Measurement | Trial | M&M Thickness (CM) | 1 | 0.642 | 2 | 0.741 | 3 | 0.683 |
Table 3 - Calculated Averages | Method | Calculated Average Thickness (cm) | Indirect (from Table 1) | 0.700 | Direct (from Table 2) | 0.689 |
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= (3.14) r2 h
(3.14)r2
(3.14)r2 ___V___ = _ (3.14)r2 h_
(3.14)r2 __V___ = h
(3.14)r2 h = __V__
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.
Trail 1: h = 75 / (3.14 x 5.67)2 h = 75 / (3.14 x 32.1489) h = 75 / 100.947546 h = 0.743 cm
Trail 2 h = 83 / (3.14 x 6.34)2 h = 83 / (3.14 x 40.1956) h = 83 / 126.214184 h = 0.658 cm
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. (0.743 + 0.658) / 2
= 1.401 / 2
= 0.700 cm
D. You have just determined a value for the thickness of an M&M using the indirect method. What makes this method "indirect"?
I measured the thickness through other means than directly measuring the thickness of a single M&M. 2. When Step 4 of the procedure was performed, a vernier