Higher January 2021 Paper 1R Q5

EdexcelHigherCurrent spec4 marksVolume & Surface Area

5 The diagram shows a cuboid and a cylinder.

Diagram NOT accurately drawn

The dimensions of the cuboid are \(x\) cm by 12 cm by 5 cm.
The volume of the cuboid is 270 cm³

The radius of the cylinder is \(x\) cm.
The height of the cylinder is \(2x\) cm.

(a) Work out the volume of the cylinder.
Give your answer correct to the nearest whole number. (3)

(b) Change 1 m³ to cm³ (1)

Mark scheme (a)

Scheme	Marks
(x =) 270 ÷ (12 × 5) (= 4.5) oe	M1
\(\pi \times \text{‘}4.5\text{’}^2 \times 2 \times \text{‘}4.5\text{’}\;(= 182.25\pi\) oe)	M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: 573	A1
	(3)

M1: ft dep on M1

A1: accept 572 − 573