Foundation January 2021 Paper 1R Q20
20 The diagram shows a cuboid and a cylinder.
Diagram NOT accurately drawn
The dimensions of the cuboid are \(x\) cm by 12 cm by 5 cm.
The volume of the cuboid is 270 cm3
The radius of the cylinder is \(x\) cm.
The height of the cylinder is \(2x\) cm.
(a) Work out the volume of the cylinder.
Give your answer correct to the nearest whole number. (3)
Give your answer correct to the nearest whole number. (3)
(b) Change 1 m3 to cm3 (1)
| Scheme | Marks |
|---|---|
| (\(x\) =) 270 ÷ (12 × 5) (= 4.5) oe | M1 |
| \(\pi \times\) ‘4.5’2 × 2 × ‘4.5’ (= 182.25\(\pi\) oe) | M1 |
| 573 | A1 |
| (3) |
Notes
M1: ft dep on M1
A1: accept 572 – 573
| Scheme | Marks |
|---|---|
| 1 000 000 | B1 |
| (1) | |
| (4 marks) |
Notes
B1: or (1 ×) \(10^6\) or (one or 1) million oe