A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. The capacity of the capsule is
(A) 0.36 cm3 (B) 0.35 cm3 (C) 0.34 cm3 (D) 0.33 cm3

NCERT Class X
Mathematics - Exemplar Problems

Chapter _SURFACE AREAS AND VOLUMES

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Answers

2015-06-09T21:48:31+05:30
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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