Foundation January 2023 Paper 2R Q24
24 The diagram shows two solids, A and B, made from two different metals.
Diagram NOT accurately drawn
Solid A is in the shape of a cylinder with radius 3 cm and height 7 cm
Solid A has a mass of 2000 g
Solid B has a mass of 3375 g
Solid B has a volume of 450 cm3
All of the metal from Solid A and Solid B is melted down to make a uniform Solid C
Given that there is no change to mass or volume during this process
work out the density of Solid C
Give your answer correct to one decimal place.
(3)
| Scheme | Marks |
|---|---|
| eg \(\pi \times 3^2 \times 7\;(= 63\pi \text{ or } 197.9...)\) | M1 |
| eg \(\dfrac{2000}{[\text{vol A}]}\) or \(\dfrac{3375}{450}\;(= 7.5 \text{ oe})\) or \(\dfrac{2000 + 3375}{[\text{vol A}] + 450}\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 8.3 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for method to find the volume of Solid A
M1: (indep) for method to find the density of Solid A, B or C, allow use of their volume for Solids A and C
A1: accept 8.29 – 8.31