Question

A solid wooden capsule is shown in Figure 1. The capsule is formed of a cylindrical block and two hemispheres.

Find the sum of total surface area of the three parts as shown in Figure 2. Given, the radius of the capsule is 3.5 cm and the length of the cylindrical block is 14 cm.

(use π = `22/7`)

Answer 1

Given

Height of Cylinder h = 14 cm

Radius of cylinder (r) = 3.5 cm

Surface area of the capsule = Curved surface area of cylinder + curved surface area of two hemispheres

= 2πrh + 2πr² + 2πr²

= 2πrh + 4πr²

2πr (h + 2r)

`2 × 22/77 × 3.5 (14 + 2 × 3.5)`

44 × 0.5 × 21

462 cm²