Higher June 2018 Paper 2 Q6
6 The diagram shows two cylinders, A and B.
Diagram NOT accurately drawn
Cylinder A has height 1.6 m and radius 0.56 m.
(a) Work out the curved surface area of cylinder A.
Give your answer in m2 correct to 3 significant figures. (2)
Give your answer in m2 correct to 3 significant figures. (2)
Cylinder B is mathematically similar to cylinder A.
The height of cylinder B is 0.6 m.
(b) Work out the radius of cylinder B. (2)
| Scheme | Marks |
|---|---|
| \(2 \times \pi \times 0.56 \times 1.6\) | M1 |
| 5.63 | A1 |
| (2) |
Notes
M1: Award even if part of a calculation including 1 or 2 circles
A1: awrt 5.63
| Scheme | Marks |
|---|---|
\(\dfrac{0.6}{1.6}\) (=0.375) or \(\dfrac{1.6}{0.6} \left(= \dfrac{8}{3} = 2.\dot{6}\right)\) or \(\dfrac{r}{0.56} = \dfrac{0.6}{1.6}\) or \((r =) \dfrac{0.56 \times 0.6}{1.6}\) or \(0.56 \div 2.\dot{6}\) oe | M1 |
| 0.21 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: Correct scale factor (given as a fraction or ratio) or correct equation in \(r\) or a correct expression for \(r\).
Allow 2.6666... to 1 dp rounded or truncated
A1: Allow 21 cm oe if units shown