Foundation June 2024 Paper 1R Q21
21 The diagram shows a solid wooden cylinder.
Diagram NOT accurately drawn
The cylinder has radius 8 cm and height \(h\) cm.
The volume of the cylinder is 1208 cm³
(a) Work out the value of \(h\)
Give your answer correct to the nearest whole number. (2)
Give your answer correct to the nearest whole number. (2)
The density of the wood is 1.25 g/cm³
(b) Work out the mass of the cylinder.
Give your answer in kilograms. (2)
Give your answer in kilograms. (2)
| Scheme | Marks |
|---|---|
| \(\pi \times 8^2 \times h = 1208\) oe or \(\dfrac{1208}{\pi \times 8^2}\) oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 6 | A1 |
| (2) |
Notes
M1: for setting up an equation in \(h\) using the volume of the cylinder or a correct calculation for \(h\) (may be seen in stages)
A1: accept 6 – 6.02
| Scheme | Marks |
|---|---|
| \(\dfrac{m}{1208} = 1.25\) oe or (\(m\) =) 1208 × 1.25 (= 1510) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 1.51 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: for setting up an equation using \(D = M / V\) or for a calculation to find the mass (may convert density to kg/cm³ first)