Question

The internal and external radii of a hollow cylinder are 4 cm and 6 cm respectively. What is the ratio of its internal surface area to its external surfthe internal and external radii of a hollow cylinder are 4 cm and 6 cm respectively. What is the ratio of its internal surface area to its external surf

Answer 1

Since the cylinder is hollow, we get the area of the curved surface.

The internal surface area :

Let the height of the cylinder be h.

r = 4

Curved surface area = πDh

πD = 3.142 × 8 = 25.136

C. A = 25.136h

The external surface area :

The height = h

D = 6 × 2 = 12`

C. A = 12 × 3.142 × h = 37.704h

Internal surface to external surface :

25.136 /37.704

= 25/38

Approximately :

25 : 38

Answer 2

Answer:

1:3

Step-by-step explanation:

internal CSA = external CSA

2 π r h = 2 π r h

2 π 4 h = 2 π 6 h

since, height is equal....cancelled

π will also b....... cancelled

2 also b ..............cancelled

therefore,

4 = 6

1 = 3

so,

the ratio of areas of internal surface and external surface of cylinder is 1:3