Higher November 2024 Paper 1 Q5
5 The diagram shows a cylinder.
Diagram NOT accurately drawn
The radius of the cylinder is 70 cm
The height of the cylinder is 18 cm
Work out the volume of the cylinder.
Give your answer in litres correct to the nearest litre.
(4)
| Scheme | Marks |
|---|---|
| \(\pi \times 70^2 \times 18\) oe or \(\pi \times 0.7^2 \times 0.18\) oe | M1 |
\(88200\pi\) or 277 088(.472)) or \(0.0882\pi\) or \(\dfrac{441}{5000}\pi\) or 0.277(088472) | A1 |
“277 088(.472)” ÷ 1000 (= 277.088…) or \(88200\pi \div 1000\;\left(= 88.2\pi \text{ or } \dfrac{441}{5}\pi\right)\) “0.277(088472)” × 1000 (= 277.088…) or \(88200\pi \div 1000\;\left(= 88.2\pi \text{ or } \dfrac{441}{5}\pi\right)\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 277 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for use of \(\pi r^2 h\)
A1: Allow 276 948 – 277 200 or
Allow 0.276 948 – 0.277 200
M1: Allow a value for their volume which contains \(\pi\), 70 and 18 to be divided by 1000
Allow a value for their volume which contains \(\pi\), 0.7 and 0.18 to be multiplied by 1000
A1: awrt 277