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Mathematics · May / June 2025 · Paper 22 · Question 16

0580

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The question as text

6 cm 5 cm NOT TO SCALE The diagram shows a solid made by joining a hemisphere to a cylinder. The radius of both the hemisphere and the cylinder is 6 cm. The height of the cylinder is 5 cm. Find the total surface area of the solid. Give your answer in terms of Ĕ. cm2 [4]

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Show the answer and mark scheme

168 π [4]

B3 for answer 168 OR

M3 for 1 4π 6 π 6 × 2 + 2 × × 2 + 2π 6 5 ×× oe OR To a maximum of 2 marks ignoring extra areas added or subtracted

M1 for π × 62 1 2 ××× 4 π 6

M1 for 2 oe

M1 for 2 × π × 6 × 5

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