Question

A medicine capsule as shown in the given figure is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 12 mm, and the diameter of the capsule is 5 mm. Find its surface area.

Answer 1

Given:

Diameter of cylinder = 5mm

Radius of cylinder = Diameter/2 = 5/2 mm

Height of cylinder = 12 – 5 = 7mm

Here, Diameter of hemisphere = 5mm

So, Radius of Hemisphere =  Diameter/2 = 5/2 mm

Total area of the capsule = CSA of cylinder + CSA of 2 hemispheres

= 2πrh + 2×2πr²