a medicine capsule is in the form of cylinder of diameter 0.5cm with two hemisphere stuck to each of its end. enitire length id 2cm. find the surface area of the capsule
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Answer:
answer is approximately 3.53 cm²
Step-by-step explanation:
As diameter of cylinder = 0.5 cm,
Diameter of the 2 hemispheres = 0.5 cm
Consider 2 hemispheres as 1 sphere
Length of capsule = 2 cm
Length of cylinder = 2 - 0.5 cm = 1.5 cm
Volume of cylinder = πr²h = π×0.25²×1.5 = π×0.09375
Volume of sphere = 4/3πr³ = π×0.0625/3
Total volume = 0.09375π+(0.0625/3)π = [0.09375+(0.0625/3)]π = 0.11458333333π = 0.35997415821 ≈ 0.36 cm³
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