4400 Higher November 2004 Paper 3 Q14
14 Oil is stored in either small drums or large drums.
The shapes of the drums are mathematically similar.
Diagram NOT accurately drawn
A small drum has a volume of 0.006 m3 and a surface area of 0.2 m2.
The height of a large drum is 3 times the height of a small drum.
(a) Calculate the volume of a large drum. (2)
(b) The cost of making a drum is $1.20 for each m2 of surface area.
A company wants to store 3240 m3 of oil in large drums.
Calculate the cost of making enough large drums to store this oil. (4)
A company wants to store 3240 m3 of oil in large drums.
Calculate the cost of making enough large drums to store this oil. (4)
| Scheme | Marks |
|---|---|
| \(0.006 \times 3^3\) | M1 |
| 0.162 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(\dfrac{3240}{\text{her } 0.162}\) or 20 000 seen | M1 |
| \(0.2 \times 3^2\) or 1.8 seen | M1 |
| her 20 000 × her 1.8 × 1.2 | M1 |
| $43 200 | A1 |
| (4) | |
| (6 marks) |
Notes
M1: Dep both M1s scored