4MA0 Higher June 2017 Paper 3R Q5

5 There is a World Peace Bell in South Korea.
At its widest, the bell has a circular cross section with a diameter of 2.5 m.

(a) Work out the circumference of a circle with diameter 2.5 m.
Give your answer correct to 3 significant figures. (2)

The World Peace Bell in South Korea has a height of 4.7 m.
At its widest, the bell has a circular cross section with a diameter of 2.5 m.

A scale model is made of the bell.
At its widest, the scale model has a circular cross section with a diameter 10 cm.

(b) Work out the height of the scale model.
Give your answer in centimetres. (2)

Scheme	Marks
\(\pi \times 2.5\) oe or \(2 \times \pi \times \left(\dfrac{2.5}{2}\right)\)	M1
7.85	A1
	(2)

Scheme	Marks
\(10 \times \dfrac{4.7}{2.5}\) oe or \(10 \times \dfrac{470}{250}\) oe	M1
18.8	A1
	(2)
	(4 marks)