4MA0 Higher June 2013 Paper 3 Q8
8
Diagram NOT accurately drawn
A solid cylinder has a radius of 5.1 cm and a height of 3.7 cm.
Work out the total surface area of the cylinder.
Give your answer correct to 3 significant figures.
(3)
| Scheme | Marks |
|---|---|
\(2 \times \pi \times 5.1^2 + 2 \times \pi \times 5.1 \times 3.7\) oe or 163.42... + 118.56... (using \(\pi\)) or 163.3428 + 118.5036 (using 3.14) (rounded or truncated to at least 3 sig figs) or \(2 \times \pi \times 5.1 \times (5.1 + 3.7)\) or \(\dfrac{2601}{50}\pi + \dfrac{1887}{50}\pi\) or \(\dfrac{2244}{25}\pi\) | M2 |
| 282 | A1 |
| (3) |
Notes
M2: M1 for one of
\(2 \times \pi \times 5.1^2\) or value in range 163-163.43 inc or \(\dfrac{2601}{50}\pi\)
\(2 \times \pi \times 5.1 \times 3.7\) oe or value in range 118-119 inc or \(\dfrac{1887}{50}\pi\)
NB. Accept 3.14(…) or 22/7 in place of \(\pi\)
A1: for answer in range 281.8-282 inc