Foundation November 2023 Paper 2 Q28
28 The diagram shows an empty tank in the shape of a cylinder.
The cylinder has radius 15 cm and height 43 cm.
Water flows into the tank at a rate of 0.47 litres per minute.
Calculate the number of minutes it will take to completely fill the tank.
Give your answer correct to the nearest minute. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 65 | P1 | for a full process to find the volume of the container, eg \(\pi \times 15^2 \times 43\ (= 30\,394.9\ldots)\) |
| P1 | for a process to convert between cm3 and litres, eg \(\text{``}30\,394.9\ldots\text{''} \div 1000\ (= 30.39\ldots)\) or \([\text{volume}] \div 1000\) or \(0.47 \times 1000\ (= 470)\) | |
| P1 | for a complete process to find the time taken, eg \([\text{volume}] \div 0.47\) or \([\text{volume}] \div \text{``}470\text{''}\) | |
| A1 | answer in the range 64.6 to 65 |
Additional guidance
These steps may be completed in a different order
First P1: accept \(9675\pi\)
Second P1: accept \(9.675\pi\) or \(\dfrac{387}{40}\pi\)
[volume] can be any value they believe to be the volume that might have been incorrectly converted (or not at all)
If an answer is given in the range in working and then rounded incorrectly award full marks.