4400 Higher November 2006 Paper 3 Q15

EdexcelHigherOld spec4 marksVolume & Surface Area

Advert box: Maxicool!! The new ice cream sensation, with a small picture of an ice cream cone

A Maxicool consists of a cone full of ice cream with a hemisphere of ice cream on top.
The radius of the hemisphere is 3 cm.
The radius of the base of the cone is 3 cm.
The height of the cone is 10 cm.

Cone of height 10 cm and base radius 3 cm with a hemisphere on top

Diagram NOT accurately drawn

Calculate the total volume of ice cream in a Maxicool.
Give your answer correct to 3 significant figures.

(4)

Mark scheme

Scheme	Marks
\(\frac{4}{3}\pi \times 3^3 \div 2 + \frac{1}{3}\pi \times 3^2 \times 10\)	M1
	M1
	M1
151	A1
	(4)
	(4 marks)

Notes

M1: for \(\frac{4}{3}\pi \times 3^3 \div 2\) or value rounding to 56.5 or 56.6

M1: for \(\frac{1}{3}\pi \times 3^2 \times 10\) or value rounding to 94.2 or 94.3

M1: for sum (dep on first two M marks)

A1: for 151 or better (150.796...) (3.14 \(\to\) 56.52 + 94.2 = 150.72)