GCE Mathematics 2024 Objective — Question 14
Question 14 of 50 from the General Certificate of Education (GCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.
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A cylindrical metallic barrel of height 2.5m and radius 0.245m is closed at one end. Find, correct to one decimal place, the total surface area of the barrel. [Take π=22/7]
- A. A. 2.1m²
- B. B. 3.5m²
- C. C. 4.0m²Correct
- D. D. 9.4m²
Explanation
Curved surface area of a cylinder=2πrh. Area of one circular end=πr². Total surface area=2πrh+πr²=πr(2h+r). Here r=0.245m, h=2.5m. T.S.A=22/7×0.245×(2(2.5)+0.245)=22/7×0.245×5.245≈4.0387m²≈4.0m².
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