0580/22 May/Jun 2022, Question 23: Composite Perimeter, Area and Volume
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Find the cone slant height l for a solid combining a cone and hemisphere of radius 6.2 cm, given total surface area 600 cm² and the sphere and cone area formulas.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Hemisphere curved area = 1/2 × 4 × π × 6.2² = 241.52…
- 2Cone curved area = π × 6.2 × l
- 3241.52… + π × 6.2 × l = 600
- 4l = (600 − 241.52…) ÷ (π × 6.2) = 358.47… ÷ 19.47…
- 5l = 18.40… ≈ 18.4 cm
Answer18.4 or 18.40…
Stuck on a step? Read the free lesson: Composite Perimeter, Area and Volume
Practise more composite perimeter, area and volume questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on composite perimeter, area and volume
Also searched as: 0580/22/M/J/22 · 0580_s22_qp_22 · 0580 s22 22 · question 23.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.