Question

the thickness of a metallic pipe is 1 cm its inner diameter is 12 cm what is the volume of metal needed for a pipe of length 1 m? (π=3.14)​

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Answer 1

Given data : The thickness of a metallic pipe is 1 cm its inner diameter is 12 cm. (π = 3.14)

To find : What is the volume of metal needed for a pipe of length 1 m ?

Solution : Here, a/c to given data;

➜ Inner diameter of the pipe = 12 cm

➜ Inner radius of the pipe, r = diameter/2 = 12/2 = 6 cm

➜ Outer radius of the pipe, R= Inner radius of the pipe + thickness of the pipe

➜ Outer radius of the pipe, r = R + 1 = 6 + 1 = 7 cm

Here,

➜ Length/Height = 1 m = 100 cm

Now, by formula of volume of the cylinder;

{Here, we know, R > r}

➜ Volume of the pipe = π * (R² - r²) * h

➜ Volume of the pipe = 3.14 * (7² - 6²) * 100

➜ Volume of the pipe = 3.14 * (49 - 36) * 100

➜ Volume of the pipe = 3.14 * 13 * 100

➜ Volume of the pipe = 3.14 * 1300

➜ Volume of the pipe = 4082 cm³

Answer : Hence, the volume of metal needed for a pipe of length 1 m is 4082 cm³.

{More info : Here, we know;

• 1 m = 100 cm

➜ 4082 cm³ = 4082/1000000 m³

➜ 4082 cm³ = 0.004082 m³}

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