Finding volume by using cross section?

AI Thread Summary
To find the volume of a shape with a given cross-sectional area of 1 m², the length of the shape must also be known. For a cylinder, the volume can be calculated using the formula V = A × L, where A is the cross-sectional area and L is the length. If the shape is a rod with a uniform cross-section, the volume will directly depend on its length; for example, a 1 m long rod would have a volume of 1 m³. The discussion also touches on deriving the radius from the area using the formula A = πr², but emphasizes the need for length to calculate volume. Understanding these relationships is crucial for solving similar problems.
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Homework Statement



The only given data is that the cross section is 1m^2, the shape is circular (like a cut wire/rod) and i have to find the volume.

Homework Equations



from what I've searched, i found the equation:
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but i have no idea what to do with it, i still haven't learned it at school.
if you know any other way to do it, please tell me with explanations. thank you!


The Attempt at a Solution

 
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If you have the cross section of a cylinder, then you can find the radius
A=\pi r^2 => r=\sqrt{A/\pi}
From the radius, you could find the volume if you were dealing with a sphere, or if you are dealing with a cylinder, you would need a length/height.
V_{cylinder} = \pi r^2 l <br /> \\<br /> V_{sphere} = 4/3 \pi r^3
 
Encephalon said:
If you have the cross section of a cylinder, then you can find the radius
A=\pi r^2 =&gt; r=\sqrt{A/\pi}
From the radius, you could find the volume if you were dealing with a sphere, or if you are dealing with a cylinder, you would need a length/height.
V_{cylinder} = \pi r^2 l <br /> \\<br /> V_{sphere} = 4/3 \pi r^3
So my A here is 1m^2?
 
To find the volume of a rod of uniform crossection area (square, circular, triangular...it does not matter) the equationis L x area
so if area is 1m^2 and the rod is 1 m long the volume is 1m^3, 10m long it is 10m^3 and so on
 
edit, misposted
please delete
 
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