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Q3 — Surface area of a hemisphere (3 marks)

GCSE · Mathematics · WJEC · G17 — Circumference and area of a circle; surface area / volume of spheres, pyramids, cones

Question

A solid hemisphere has radius 5 cm. Calculate its total surface area, leaving your answer in terms of π.

Mark scheme (3 marks):

  • M1: curved SA = 2πr² = 2π × 25 = 50π cm²
  • M1: flat circular base = πr² = 25π cm²
  • A1: Total = 75π cm²
  • Common error: stating 50π only (forgetting the flat circular face) — scores 1/3.

3 marks · take your time before peeking.

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Generated by TopMyGrade AI · cross-check official sources before relying on the mark-scheme phrasing.