February/March 2026 Paper 22

2026 · 22 questions · 42 parts · 101 marks

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Context for question 18
a cone of sloping edge 12 cm and radius r cm beside a hemisphere of radius 4 cm; marked NOT TO SCALE
The diagram shows a cone and a hemisphere. The cone has radius r cm and sloping edge 12 cm. The hemisphere has radius 4 cm. The total surface area of the cone is equal to the total surface area of the hemisphere.
18(a)Solids Surface Area VolumeMedium3 marks
Show that .
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18(b)Quadratic Equations InequalitiesMedium4 marks
Find the exact value of the radius of the cone. Give your answer as a surd in its simplest form.
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