Higher November 2021 Paper 1 Q10
10 A solid aluminium cylinder has radius 10 cm and height \(h\) cm.
Diagram NOT accurately drawn
The mass of the cylinder is 5.4 kg.
The density of aluminium is 0.0027 kg/cm3
Calculate the value of \(h\).
Give your answer correct to one decimal place.
(5)
| Scheme | Marks |
|---|---|
| \(0.0027 = \dfrac{5.4}{(V)}\) oe | M1 |
| \((V =)\ \dfrac{5.4}{0.0027} = 2000\) | M1 |
| \(\pi \times 10^2 \times h = 2000\) oe | M1ft |
| \((h =)\ \dfrac{2000}{\pi \times 10^2}\) oe (= 6.3661…) | M1ft |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 6.4 | A1 |
| (5) | |
| (5 marks) |
Notes
M1: for correctly using \(\text{density} = \dfrac{\text{mass}}{\text{volume}}\)
M1: for correctly rearranging for \(V\)
M1ft: their 2000 for \(\pi \times 10^2 \times h = \) their \(V\)
M1ft: their 2000 dep on previous M1 for correctly rearranging for \(h\)
A1: awrt 6.4