Higher June 2017 Unit 1 Q19
19. By considering algebraic expressions, show that it will never be possible for the surface area of a sphere of radius \(r\) to be equal to the surface area of a cube with sides of length \(r\). [2]
From the formula list: Surface area of sphere \(= 4\pi r^2\)
| Scheme | Marks | Comments |
|---|---|---|
| Sight of 4πr2 AND 6r2 | B1 | |
| Convincing argument, e.g. 4π ≠ 6, or π = 1·5 (or equivalent), which is not true. | E1 | E1 depends on B1 having been awarded. |