Higher November 2018 Paper 4 Q19
19 Two cylinders, A and B, are mathematically similar.
Cylinder A has volume 2400 cm\(^3\) and height 12 cm.
Cylinder B has volume 750 cm\(^3\).
Find the height of cylinder B.
Give your answer correct to an appropriate degree of accuracy. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 8.1 or 8.14 | 5 | M1 for [vol sf] = 2400 ÷ 750 or 3.2 M1 for \(\sqrt[3]{\textit{their } 3.2}\) or 1.47… M1 for 12 ÷ their 1.47… A1 for 8.143… if A0 award B1 for their answer to at least 4 figures correctly rounded to 2 or 3 s.f. | Also 750 ÷ 2400 or 0.3125 \(\sqrt[3]{\textit{their } 0.3125}\) or 0.6786… 12 × their 0.6786 their 1.47 and their 0.6786 must be roots |