Numeracy Higher June 2022 Unit 2 Q4
4. A cylindrical water tank has a radius of 36 cm.
There are 80 litres of water in the tank.
Calculate the height of the water in the tank in centimetres. [4]
Diagram not drawn to scale
The height of the water in the tank is ………… cm
| Scheme | Marks | Comments |
|---|---|---|
| (80 litres = 80 000 cm3) 80 000 = π × 362 × height or equivalent | M2 | May be shown in stages, but place value must be correct for the award of M2 M1 for sight of any 1 of the following:
|
| (Height =) \(\dfrac{80\,000}{\pi \times 36^2}\) or equivalent | m1 | For a correct rearrangement, provided the denominator is a multiple of π Allow if the intended calculation includes a place value error with digits 8 and/or 36 Also possible FT from M1 |
| Answers in the range 19.6 to 19.7 (cm) | A1 | CAO, must be in centimetres Accept 20(cm) from correct working |