Foundation June 2022 Paper 1 Q22

EdexcelFoundationCurrent spec4 marksCompound Measures

22 A cylinder is placed on the ground.

Diagram NOT accurately drawn

The height of the cylinder is 18 cm.

The force exerted by the cylinder on the ground is 72 newtons.
The pressure on the ground due to the cylinder is 1.4 newtons/cm\(^2\)

\[\boxed{\text{pressure} = \dfrac{\text{force}}{\text{area}}}\]

Work out the volume of the cylinder.
Give your answer correct to 3 significant figures.

(4)

Mark scheme

Scheme	Marks
\(1.4 = \dfrac{72}{(\text{area})}\) oe	M1
(area =) \(\dfrac{72}{1.4}\left(= \dfrac{360}{7} = 51.4\ldots\right)\) oe	M1
“51.4…” × 18 or \(r = \sqrt{\dfrac{\text{``}{51.4\ldots}\text{''}}{\pi}}\) (= 4.046…) and \(\pi \times \text{``}{4.046}\text{''}^2 \times 18\)	M1
926	A1
	(4)
	(4 marks)

M1: (51.4 or better)

M1: allow use of \(\pi r^2\) to find the radius and then using \(\pi r^2 h\) to find the volume

A1: Allow 925 – 928