1MA0 Higher June 2017 Paper 1 Q12
12 Sanders has a water tank for storing rainwater.
Diagram NOT accurately drawn
The tank is in the shape of a cylinder.
The radius of the cylinder is 31 cm.
The height of the cylinder is 97.5 cm.
The tank is full of water.
Work out an estimate for the volume of water in the tank.
Give your answer in litres.
You must show your working.
Use 1000 cm\(^3\) = 1 litre. (3)
| Answer | Mark | Notes |
|---|---|---|
| 270 | 3 | M1 for correct use of formula for volume of a cylinder using exact or (some) approximate figures eg \(\pi \times 31^2 \times 97.5\) or \(\pi \times 31^2 \times 100\) or using an estimate of \(\pi\) eg \(\pi = 3\) in the volume formula M1 for a complete method to find an estimate for the volume in cm\(^3\) with at least 2 values rounded eg \(\pi \times 30^2 \times 100\) (= 270 000) eg \(3.1 \times 30^2 \times 100\) eg \(3 \times 31^2 \times 100\) A1 accept answer in the range 270 − 300 from a method using estimates |