In this experiment you will measure the capacity of a drinks cup by three different methods. The capacity of a cup is the maximum volume of liquid that it can hold. You are provided with: - a drinks cup with a capacity of approximately 200 $\text{cm}^3$ - a 30 $\text{cm}$ ruler - a metre rule - approximately 80 $\text{cm}$ of thin string - a 250 $\text{cm}^3$ measuring cylinder - a supply of water. (a) method 1 Fig. 1.1 shows the measurements to be taken. (i) Measure the…

Physics 5054/32 — May/June 2023

Cambridge O-Level · Practical Test · worked solutions for every part, with the mark scheme

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Topics Experimental Contexts · Observations and Measurements · Analysis, Conclusions and Evaluation · Use of Techniques, Apparatus and Materials · Planning Experiments and Investigations

Q110MExperimental ContextsObservations and MeasurementsAnalysis, Conclusions and EvaluationUse of Techniques, Apparatus and MaterialsFree sample

In this experiment you will measure the capacity of a drinks cup by three different methods.

The capacity of a cup is the maximum volume of liquid that it can hold.

You are provided with:

a drinks cup with a capacity of approximately 200 $\text{cm}^3$
a 30 $\text{cm}$ ruler
a metre rule
approximately 80 $\text{cm}$ of thin string
a 250 $\text{cm}^3$ measuring cylinder
a supply of water.

(a)

method 1

Fig. 1.1 shows the measurements to be taken.

Fig. 1.1

(i)

Measure the height $h$ , the diameter $D$ and the diameter $d$ of the cup provided.

$h$ = ______ $\text{cm}$
$D$ = ______ $\text{cm}$
$d$ = ______ $\text{cm}$

(ii)

Calculate the average diameter $d_A$ of the cup using your readings from (a)(i) and the equation:

d_A = \frac{(D + d)}{2}

$d_A$ = ______ $\text{cm}$

(iii)

Calculate a value for the capacity $V_1$ of the cup using the equation:

V_1 = \frac{\pi d_A^2 h}{4}

$V_1$ = ______ $\text{cm}^3$

(b)

method 2

Use the string and the metre rule to determine the average circumference $C$ of the cup.

(i)

Describe the method you use and show your working.

You may draw a diagram, if you wish.

$C$ = ______ $\text{cm}$

(ii)

Calculate a value for the capacity $V_2$ of the cup using the equation:

V_2 = \frac{C^2 h}{4\pi}

$V_2$ = ______ $\text{cm}^3$

(c)

method 3

Pour water into the measuring cylinder up to a level that is greater than 200 $\text{cm}^3$ and record the volume. This is reading $R_1$ .

Pour water from the measuring cylinder into the cup until it is full and record the volume of water left in the measuring cylinder. This is reading $R_2$ .

Determine the volume of water $V_3$ in the cup. Show your working.

$R_1$ = ______ $\text{cm}^3$
$R_2$ = ______ $\text{cm}^3$
$V_3$ = ______ $\text{cm}^3$

(d)

All three methods of determining the capacity of the drinks cup give values which are approximate.

State one reason why the volume calculated in method 2 and one reason why the volume calculated in method 3 are not accurate.

method 2 ______

method 3 ______

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3 more questions

Q2Observations and Measurements · Experimental Contexts · Analysis, Conclusions and Evaluation · Use of Techniques, Apparatus and Materials10M
Q3Experimental Contexts · Observations and Measurements · Analysis, Conclusions and Evaluation · Planning Experiments and Investigations · Use of Techniques, Apparatus and Materials14M
Q4Planning Experiments and Investigations · Experimental Contexts · Observations and Measurements · Analysis, Conclusions and Evaluation6M

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