Question

Find the weight of iron in a pipe whose iterior and exterior diameters measures 10 and 12 cms respectively, and length 4 m; one cubit metre of iron weighs 7,800 kg.

Answer 1

Answer:

" The weight of the iron pipe is 107.86 kg "

Step-by-step Solution:

Given, interior and exterior diameters of the pipe are 10 cm and 12 cm respectively.

Then interior radius = 10/2 cm = 5 cm

and exterior radius = 12/2 cm = 6 cm

Therefore, the total surface area of the pipe

= π (6² - 5²) cm²

= π (36 - 25) cm²

= (22/7) * 11 cm²

= 242/7 cm²

= 242/70000 m²

= 121/35000 m²

Then the volume of the pipe

= total surface area × length of the pipe

= 121/35000 * 4 m³

= 121/8750 m³

Therefore, the weight of the iron pipe

= volume × weight per cubic metre

= 121/8750 * 7800 kg

= 107.86 kg