Higher November 2023 Paper 6 Q11
11 The diagram shows a cone and a cube.
The cone has radius 8 cm and height 10 cm.
The volume of the cone is equal to the volume of the cube.
Work out the length of one side of the cube.
[The volume \(V\) of a cone with radius \(r\) and height \(h\) is \(V = \frac{1}{3}\pi r^2 h\).] [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 8.75 to 8.752 nfww | 4 | B2 for 670[.2…], 670.3 or \(\frac{640}{3}\pi\) or M1 for \(\frac{1}{3}\pi \times 8^2 \times 10\) | Accept answer 8.8 after B2 seen |
| AND M1 for \(\sqrt[3]{\textit{their}\left(\frac{1}{3}\pi \times 8^2 \times 10\right)}\) oe | their value must come from correct substitution into given formula | ||