Question

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 ______.

Options

• 0.36 cm³

• 0.35 cm³

• 0.34 cm³

• 0.33 cm³

Answer 1

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 0.36 cm³.

Explanation:

Since diameter of the cylinder = diameter of the hemisphere = 0.5 cm

Radius of cylinder r = radius of hemisphere r = `0.5/2` = 0.25 cm

Observe the figure,

Total length of capsule = 2 cm

Capacity of capsule is:

= Volume of cylindrical part + 2 × volume of hemisphere

`= pi"r"^2"h" + 2 xx 2/3 pi "r"^3`

`= pi(0.25)^2 (1.5 + 4/3 xx 0.25)`

= 0.36 cm³