Question

An 18 cm long iron pipe has an external diameter of 24 cm if the thickness of the pipe is 1 cm find the total surface area of the pipe? ​

Answer 1

2746.8 cm^2 is the total surface area of the pipe.

Step-by-step explanation:

Given that,

Length of the pipe = 18cm

External diameter of the pipe = 24cm

The Thickness of the pipe = 1 cm

To find,

The Total Surface area of the pipe = ?

Procedure:

As we know,

Total surface area = Area of both ends +  C.S.A.

For that, we will find the internal radius,

Inner radius = External diameter/2 - thickness

= 24/2 - 1

= 11cm

so,

Area of one end = π(R^2 - r^2)

= π(12^2-11^2)

= π × 23

= 23π

Area of both ends = 23π × 2

= 46π

Area of inside C.S.A = 2πrh

= 2π×11×18

= 396π

Area of outer C.S.A =  2πrh

= 2π × 12 × 18

= 432π

Thus,

Total C.S.A. = Area of both ends + Area of inside C.S.A + Area of outer C.S.A

= 432π + 396π + 46π

= 874 * 22/7

= 2746.8 cm^2

Learn more: Total Surface Area

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