Higher June 2024 Paper 1 Q8
8 A cylinder is placed on a table.
Diagram NOT accurately drawn
The volume of the cylinder is 1575 cm\(^3\)
The force exerted by the cylinder on the table is 84 newtons.
Work out the pressure on the table due to the cylinder.
…………………… newtons/cm\(^2\)
(3)
| Scheme | Marks |
|---|---|
1575 = (area) × 21 oe or (area = ) 75 or \(1575 = \pi \times r^2 \times 21\) oe or \(r^2 = \dfrac{1575}{21\pi}\big(= 23.8(732...)\big)\) oe or \(r = \sqrt{\dfrac{1575}{21\pi}}\big(= 4.88(602...)\big)\) oe | M1 |
| \(\dfrac{84}{\text{``}{75}\text{''}}\) oe or \(\dfrac{84}{\pi \, \text{``}{4.88}\text{''}^2}\) oe or \(\dfrac{84}{\pi \, \text{``}{23.8}\text{''}}\) oe | M1 |
| Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 1.12 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for finding the area using
Vol = cross sectional area × height
or
finding \(r\) or \(r^2\) using vol = \(\pi r^2 h\)
NB \(r^2\) and \(r\) can be rounded or truncated
M1: for \(\dfrac{84}{\text{area of circle}}\)
A1: accept 1.06 – 1.121