Higher November 2017 Paper 3 Q14
14 Cone A and cone B are mathematically similar.
The ratio of the volume of cone A to the volume of cone B is 27 : 8
The surface area of cone A is 297 cm2
Show that the surface area of cone B is 132 cm2 (3)
| Answer | Mark | Notes |
|---|---|---|
| Shown | M1 | for \(\sqrt[3]{\dfrac{8}{27}}\ \left(= \dfrac{2}{3}\right)\) or \(\sqrt[3]{\dfrac{27}{8}}\ \left(= \dfrac{3}{2}\right)\) or 2 : 3 or 3 : 2 |
| M1 | for \(\left(\sqrt[3]{\dfrac{8}{27}}\right)^2\ \left(= \dfrac{4}{9}\right)\) or \(\left(\sqrt[3]{\dfrac{27}{8}}\right)^2\ \left(= \dfrac{9}{4}\right)\) or 4 : 9 or 9 : 4 | |
| A1 | 132 from correct arithmetic |