Higher June 2022 Paper 1R Q7
7 The diagram shows a solid cylinder made from iron.
Diagram NOT accurately drawn
The cylinder has diameter 18 cm and height 3.5 cm
The mass of the cylinder is 7.04 kg
Work out the density of the iron.
Give your answer in g/cm3 correct to 2 significant figures.
(3)
| Scheme | Marks |
|---|---|
| eg (\(V\) =) \(\pi \times \left(\dfrac{18}{2}\right)^2 \times 3.5\;\left(= 890.(64\ldots)\text{ or }\dfrac{567}{2}\pi\right)\) | M1 |
| eg (7.04 × 1000) ÷ “890.64” | M1 |
| 7.9 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: correct method to calculate volume
M1: correct method to calculate density (if volume is incorrect, their value can be used if clearly labelled)
accept use of 7.04 or an incorrect conversion from kg to g for mass
A1: accept 7.9 – 7.92