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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%

User Georstef
by
8.7k points

1 Answer

5 votes

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.

User Retronym
by
8.3k points

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