Higher November 2018 Paper 4 Q6
6 The diagram shows a cylinder and a sphere.
The cylinder has radius 12 cm and height 30 cm.
The cylinder and the sphere have the same volume.
Work out the radius \(r\) cm of the sphere.
[The volume \(V\) of a sphere with radius \(r\) is \(V = \frac{4}{3}\pi r^3\).] [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 14.79 to 14.8 | 5 | M2 for \(\pi \times 12^2 \times 30\) soi by 13 564 to 13 574 or M1 for \(\pi \times 12^2\) soi 452 to 453 B1 for \(\frac{4}{3}\pi r^3\) = their 13 571 M1 for their 13 571 ÷ \(\frac{4}{3}\pi\) or 3240 | |