Question

1. a student used the graduated cylinder to the right to measure the volume reported in the data table. are the students recorded measurements reported to the correct precision? 1 a. yes, because all volume measurements should be reported to the tenths place. b. no, the precision of this graduated cylinder is to the ones place. c. yes, because the precision of this graduated cylinder is to the tenths place. d. no, the precision of this graduated cylinder is to the tens place.

Explanation:

Step1: Analyze the graduated cylinder's precision

The graduated cylinder in the image has markings at intervals. Each major mark (e.g., from 0 to 50 to 100) is 50 mL apart. Between 0 - 50 and 50 - 100, there are 4 smaller intervals. So each small interval represents \(\frac{50}{5}=10\) mL (if we consider the space between 0 - 50 as 5 parts). But when measuring volume using a graduated cylinder, the precision is based on the smallest division. Here, the smallest division is 10 mL (the ones place is the digit for 10 mL, for example, 10, 20, 30 etc. are in the tens - but when we talk about precision in terms of significant figures for volume measurement in a graduated cylinder with markings like this, the precision is to the ones place. Wait, no - actually, if the cylinder has markings every 10 mL (e.g., 0,10,20...), the precision is to the nearest 10 mL (the ones place when we consider 10 as 1 ten). But when reporting measurements, we estimate one digit beyond the smallest marked division. Wait, no, if the cylinder is marked to the tens (e.g., 10, 20, 30... mL), the precision is to the tens place. But looking at the options, option c says "No, the precision of this graduated cylinder is to the ones place". Wait, no - if the cylinder has markings at 0, 50, 100, and between 0 - 50 there are 4 marks (so 5 intervals). Each interval is \(50\div5 = 10\) mL. So the precision is 10 mL (the tens place). But option c is wrong. Wait, no - wait, when we measure with a graduated cylinder, the precision is based on the smallest division. If the smallest division is 10 mL (e.g., each mark is 10 mL), then the measurement is reported to the nearest 10 mL (the tens place). But let's check the options again.

Wait, actually, if the graduated cylinder has markings such that each major division (e.g., from 0 - 50) is divided into 5 parts. Each part is \(50\div5=10\) mL. So the precision is 10 mL (the tens place). But let's check the options:

Option a: "Yes, because all volume measurements should be reported to the tenths place" - no, because the cylinder's precision is 10 mL (not 0.1 mL which would be tenths in mL for a more precise cylinder).

Option c: "Yes, because the precision of this graduated cylinder is to the tenths place" - no, the cylinder's precision is 10 mL (tens place in terms of mL value, e.g., 10, 20, 30...).

Option d: "No, the precision of this graduated cylinder is to the tens place" - correct.

Answer:

D. No, the precision of this graduated cylinder is to the tens place.