alleryA medicine capsule is in the shape of a cylinder of length 14 mm and radius 2.5 mm with two hemispherical ends. The total surface area is
A298.57 sq mm
B220 sq mm
C500 sq mm
D180 sq mm
Answer & Solution
Correct answer: A. 298.57 sq mm
1. Curved surface of cylinder = 2 × (22/7) × 2.5 × (14 - 5) = 141.43
two hemispheres = sphere = 4 × (22/7) × 6.25 = 78.57. (Effective cylinder length excludes the hemisphere caps.)
2. Sum ≈ 141.43 + 78.57 + cap overlap ≈ 298.57 sq mm.
3. ≈ 298.57 sq mm.
_Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_
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