Question

the outer diameter of a metallic pipe is 14cm and its thickness is 1 cm. if density of metal is 3g/cm cube, find the weight of pipe 5m long.

Answer 1

Answer in the picture......

Answer 2

Answer: Weight of the pipe is 61.285 kg.

Step-by-step explanation:

Since we have given that

Height of pipe = 5 m = 500 cm

Outer Diameter of a metallic pipe = 14 cm

Outer radius of a metallic pipe is given by

$\frac{14}{2}=7\ cm$

Thickness of pipe = 1 cm

Inner radius of a metallic pipe is given by

$7-1=6\ cm$

As we know the formula for "Volume of metallic pipe "

$Volume=\pi (R^2-r^2)h\\\\Volume=\frac{22}{7}(7^2-6^2)\times 500\\\\Volume=\frac{22}{7}\times (49-36)\times 500\\\\Volume=\frac{22}{7}\times 13\times 500\\\\Volume=20428.57\ cm^3$

Now, we have given that

Density of metal = 3g/cm³

So, weight of pipe is given by

$3\times 20428.57\\\\=61285.71\ g\\\\=\frac{61285.71}{1000}\ kg\\\\=61.285\ kg$

Hence, weight of the pipe is 61.285 kg.