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Surface Areas and Volumes
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01/08/2021 5:51 pm
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A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule? (Assume π = 22/7)
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01/08/2021 5:53 pm
Diameter of capsule = 3.5 mm
Radius of capsule, say r = diameter/ 2
= \(\frac{3.5}{2}\) mm
= 1.75 mm
Volume of spherical capsule = \(\frac{4}{3}\) πr3
Volume of spherical capsule = \(\frac{4}{3}\) × \(\frac{22}{7}\) × (1.75)3
= 22.458
The volume of the spherical capsule is 22.46 mm3.