A student determines the internal diameter $d$ of a cylindrical glass container. They add measured volumes of water $V$ and record the corresponding depth $h$ of the water in the cylinder. The results are shown in the table below:

cm33.0165.5278.03810.54913.060\begin{array}{|c|c|} \hline h \text{ / cm} & V \text{ / cm}^3 \\ \hline 3.0 & 16 \\ \hline 5.5 & 27 \\ \hline 8.0 & 38 \\ \hline 10.5 & 49 \\ \hline 13.0 & 60 \\ \hline \end{array}

The student plots a graph of $V$ (on the $y$ -axis) against $h$ (on the $x$ -axis). Determine the gradient $G$ of the best-fit straight line for these data. Show your working.

The internal diameter $d$ of the cylindrical glass container is given by the formula:

\sqrt{\frac{4G}{\pi}}

Calculate $d$ using your value of $G$ . Give your answer to 2 significant figures.

Suggest one practical reason why the measured diameter at the very bottom of the cylinder might deviate from this calculated value.

cm33.0165.5278.03810.54913.060\begin{array}{|c|c|} \hline h \text{ / cm} & V \text{ / cm}^3 \\ \hline 3.0 & 16 \\ \hline 5.5 & 27 \\ \hline 8.0 & 38 \\ \hline 10.5 & 49 \\ \hline 13.0 & 60 \\ \hline \end{array}

The student plots a graph of $V$ (on the $y$ -axis) against $h$ (on the $x$ -axis). Determine the gradient $G$ of the best-fit straight line for these data. Show your working.

The internal diameter $d$ of the cylindrical glass container is given by the formula:

\sqrt{\frac{4G}{\pi}}

Calculate $d$ using your value of $G$ . Give your answer to 2 significant figures.

Suggest one practical reason why the measured diameter at the very bottom of the cylinder might deviate from this calculated value.

Physical quantities and measurement techniques

Question 3

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Physical quantities and measurement techniques

Question 3

Markscheme

Physical quantities and measurement techniques

Question 3

Physical quantities and measurement techniques Questions

Physical quantities and measurement techniques

Question 3

Physical quantities and measurement techniques Questions