Q. 334.5( 2 Votes )
A medicine capsule is in the shape of a cylinder of diameter 0.5 cm with two hemisphere struck to each of its ends. The length of the entire capsule is 2 cm. The capacity of the capsule is
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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