Question

A graduated cylinder (a cup) actually contains 7.5 milliliters of water, When Han measures the volume of the water inside the graduated cylinder, his measurement is 7 milliliters. Which of these is the closest to the percent error for Han’s Measurement

107.1%
93.3%
7.1%
6.7%

Answer 1

Given:

Actual volume of graduated cylinder (a cup) = 7.5 milliliters.

Han measures the volume of graduated cylinder = 7 milliliters.

To find:

The percent error for Han’s measurement.

Solution:

We have,

Actual volume = 7.5 milliliters

Incorrect volume = 7 milliliters

So, the error in the measurement of volume is

`Error=7.5-7=0.5`

Now,

`%\text{Error}=\frac{text{Error}}{\text{Actual value}}* 100`
`\text{Percent error}=\frac{\text{Error}}{\text{Actual value}}* 100`

`%\text{Error}=\frac{text{Error}}{\text{Actual value}}* 100`
`\text{Percent error}=\frac{\text{Error}}{\text{Actual value}}* 100`

`%\text{Error}=\frac{text{Error}}{\text{Actual value}}* 100`
`\text{Percent error}=(0.5)/(7.5)* 100`

`%\text{Error}=\frac{text{Error}}{\text{Actual value}}* 100`
`\text{Percent error}=(50)/(7.5)`

`%\text{Error}=\frac{text{Error}}{\text{Actual value}}* 100`
`\text{Percent error}=6.6666667`

`\text{Percent error}\approx 6.7\%`

The percent error for Han’s measurement is 6.7%.

Therefore, the correct option is D.