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


Capacity of capsule = Volume of 2 hemispherical part + volume of cylindrical part


Now,


Diameter of capsule = 0.5 cm


Radius of capsule, r = 0.25 cm


[as radius = 1/2 diameter]


Also,


Radius of hemispherical part = Radius of cylindrical part = r


Height of entire capsule = 2 cm


Let the height of cylindrical part be h.


Then


Height of entire capsule = radius of 2 hemispherical parts + height of cylindrical part


⇒ 2 = 2r + h


⇒ 2 = 2(0.25) + h


⇒ h = 1.5 cm


Volume of capsule



Volume of hemisphere of radius, r = (2/3) πr3


And volume of cylinder = πr2h,


where r = base radius,


h = height of cylinder


Volume of capsule


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