# 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 isA. 0.33 cm3B. 0.34 cm3C. 0.35 cm3D. 0.36 cm3

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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