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Mathematics · Oct / Nov 2024 · Paper 21 · Question 16

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6 cm NOT TO SCALE 18 cm û cm The diagram shows a sphere of radius 6 cm and a cylinder of height 18 cm and radius û cm. The volume of the sphere is equal to the volume of the cylinder. Calculate the curved surface area of the cylinder. Give your answer in terms of _. [The volume, V, of a sphere with radius þ is _ V Ā 3 4 3 ¡ ] cm2 [4]

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144π cao [4]

4 × π × 3 6 3

M2 for [ R2 =] oe × π 18 4 × π × 3 = π × 2 ×

or M1 for 6 R 18 oe 3

M1 for 2 × π × theirR × 18 oe

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