Mea Den 1. Results for circumference, diameter and helg Height of cylinder Diame

Question

Mea Den 1. Results for circumference, diameter and helg Height of cylinder Diameter of base Circumference in Cylinderin 5.0 2.0 s. 28325 20.5 2.62 60 5 Requir 10O Learr slope from the graph 17,097 % errorLy slope from the graph 23,1696 error Data Table 1.2. Results for area and volume 2.69 Area of the base of cylinder Volume of cylinder I lale | 3.14 | 102. 10 28 2 3217 5.4216.06 10.22 . 18 | 7: |22s31|14.13 5 73.53 1.57 Yoo.ss 25 3 .215.03 130,06 Conversion factor between in and cm Conversion factor between in? and cm Conversion factor between in' and c %error 96 error %error

Explanation / Answer

I think your slope which you have found out from the graph is correct. The theoretical value of pi is 3.14.

Now, from the table data which you have given,

3.14 in2 = 19.6 cm2. The standard conversion factor is 1 in2 = 6.45 cm2 which means as per your reading 1 in2 = 6.242 cm2 . Thus the percentage error is

| 6.242 - 6.45 | / 6.45 * 100 = 3.3 %

In same way, you can calulate for in3 .

Let me answer those 2 questions :

1) No, the circuference of any circle is pi*d . Thereofore, ratio = pi*d / d = pi

2) Yes because the ratio of circumference and diameter is given by c/r = which means  if you measure the circumference in meter and diameter in foot you will not get the answer as = 3.14 .

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