Higher June 2019 Paper 1R Q1
1 The diagram shows a cylinder.
Diagram NOT accurately drawn
The cylinder has radius 8.2 cm and height 10 cm.
The cylinder is empty.
Pam pours 1.5 litres of water into the cylinder.
Work out the depth of the water in the cylinder.
Give your answer correct to 1 decimal place.
(3)
| Scheme | Marks |
|---|---|
e.g. \(\pi \times 8.2^2\) (= 211.24…, \(\dfrac{1681}{25}\pi\)) or 1.5 × 1000 (= 1500) or \(\pi \times 8.2^2 \times 10\) (= 2112.4…, \(\dfrac{3362}{5}\pi\)) | M1 |
| e.g. \((1.5 \times 1000) \div (\pi \times 8.2^2)\) (= 7.1009…) or \((1.5 \times 1000) \div \text{``}{2112.4}\text{''} \times 10\) oe (= 7.1009…) or \(10 - ((\text{``}{2112.4}\text{''} - 1.5 \times 1000) \div (\pi \times 8.2^2))\) (= 7.1009…) | M1 |
| 7.1 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for a correct first step
M1: for a complete method to find the depth of the water or an answer of 2.89 – 2.91
A1: accept 7.09 – 7.11