Q. 334.5( 2 Votes )

A medicine capsul A. 0.33 cm3

B. 0.34 cm3

C. 0.35 cm3

D. 0.36 cm3

Answer :

Given: A cylinder of diameter 0.5 cm


The length of the entire capsule is 2 cm


Here, Radius of the Cylinder and Hemisphere is = 0.25cm


Height of the Cylinder = length of capsule – 2 × (radius of hemisphere) = 2 – 0.5 = 1.5cm


Volume of Cylinder is: πr2h (here r, h are radius and height of the cylinder respectively)


Volume of hemisphere is: πr3 (here r is the radius of the hemisphere)


Let V1 be the Cylindrical part of the capsule


V1 = πr2h = π × (0.25)2 × (1.5) = 0.09375π cm3


Let V2 be the Cylindrical part of the capsule


V1 = πr3 = π(0.25)3 = π cm3


Volume of the capsule = V1 + 2V2 = 0.09375π + 2 × π = 0.3599 0.36cm3


Volume of the capsule is 0.36cm3

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