A medicine capsul A. 0.33 cm³

B. 0.34 cm³

C. 0.35 cm³

D. 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