Question

Find the volume in cm³ of a length of pipe which has these measurements. 


Volume of a cylinder = πr²h

π = 3.14

10cm 2m
round to the nearest thousand ​

Answer 1

The volume in cm³ of the length of the cylindrical pipe is  16000 cm³.

Step-by-step explanation:

Hi there,

The figure with proper dimensions is missing in the question above. I have attached the figure for you at the end of the solution and have solved it accordingly. Hope this is helpful. Thanks

The volume of the cylinder(V) is given by,

V = πr²h …… (i)

Where  

r = the radius of the cylinder  

h = the height of the cylinder

From the figure attached below, we have

The diameter of the pipe, d = 10 cm

∴ The radius of the pipe, r = d/2 = 10/2 = 5 cm

The height of the pipe, h = 2 m = 2*100 = 200 cm ….. [since 1 m = 100 cm]    

Now, substituting the given values in the formula given in eq. (i), we get

V = πr²h

⇒ V = 3.14 * (5)² * 200 …. [since value of π = 3.14 (given)]

⇒ V = 15700 cm³

Here we are asked to round the final answer of the volume in cm^3 to its nearest thousand, therefore,

Volume of the cylindrical pipe ≈ 16000 cm³

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Answer 2

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. Geometrically, it can be considered as a prism with a circle as its base

The volume in cm³ of the length of the cylindrical pipe is  $16000 cm^3$

Step-by-step explanation

The volume of the cylinder(V) is given by,

V = πr²h …… (i)

Given-

The diameter of the pipe, $d = 10 cm$

Height of the cylinder $= 200cm$   [since 1 m = 100 cm]    

∴ The radius of the pipe, $r = d/2 = 10/2 = 5 cm$

Now, substituting the given values in the formula given in eq. (i), we get

$V = \pi r^2h$

$V = 3.14 \times (5)^2 \times 200$…. [since value of π = 3.14 (given)]

$V = 15700 cm^3$

Here we are asked to round the final answer of the volume in cm^3 to its nearest thousand, therefore,

Volume of the cylindrical pipe ≈ $16000 cm^3$

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