4MA0 Higher January 2015 Paper 3R Q10

EdexcelHigherOld spec6 marksPrisms

10 The diagram shows a solid cylinder.

Diagram NOT accurately drawn

The cylinder has a height of 30 cm and a radius 11 cm.

(a) Work out the total surface area of the cylinder.
Give your answer correct to 2 significant figures. (4)

(b) The height of the cylinder is 30 cm, correct to the nearest centimetre.

(i) Write down the lower bound of the height of the cylinder.

(ii) Write down the upper bound of the height of the cylinder.

(2)

Mark scheme (a)

Scheme	Marks
\(\pi \times 11^2\) \((121\pi)\) (=380.1...) or \(2 \times \pi \times 11^2\) \((242\pi)\) (=760.2..) oe	M1
\(2 \times \pi \times 11 \times 30\) \((660\pi)\) (=2073.4...)	M1
2 × “380” + “2073” or “760.2” + “2073” \((242\pi + 660\pi\) or \(902\pi)\)	M1
2800	A1
	(4)

M1: ind

M1: dep on M2

A1: 2833.71... awrt 2800
SC : B3 for 2453.59...or awrt 2500