Higher June 2025 Paper 1 Q7
7 Here is a solid cylinder.
Diagram NOT accurately drawn
The radius of the cylinder is 8 cm
The height of the cylinder is \(h\) cm
The volume of the cylinder is 3892 cm3
Work out the value of \(h\)
Give your answer correct to one decimal place.
(3)
| Scheme | Marks |
|---|---|
| \(3892 = \pi \times 8^2 \times h\) or \(\pi \times 8^2 \left(= 64\pi = 201\ldots\right)\) | M1 |
| \((h =)\dfrac{3892}{\pi \times 8^2}\) oe eg 3892 ÷ 64 = 60.8… and 60.8… ÷ π | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 19.4 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: allow use of 3.14… or \(\dfrac{22}{7}\) for \(\pi\)
M1: allow use of 3.14… or \(\dfrac{22}{7}\) for \(\pi\)
A1: allow 19.3 – 19.4