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}=\dfrac{text{Error}}{\text{Actual value}}\times 100$$\text{Percent error}=\dfrac{\text{Error}}{\text{Actual value}}\times 100$

$%\text{Error}=\dfrac{text{Error}}{\text{Actual value}}\times 100$$\text{Percent error}=\dfrac{\text{Error}}{\text{Actual value}}\times 100$

$%\text{Error}=\dfrac{text{Error}}{\text{Actual value}}\times 100$$\text{Percent error}=\dfrac{0.5}{7.5}\times 100$

$%\text{Error}=\dfrac{text{Error}}{\text{Actual value}}\times 100$$\text{Percent error}=\dfrac{50}{7.5}$

$%\text{Error}=\dfrac{text{Error}}{\text{Actual value}}\times 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.