Column cross-sectional area (cm2)

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SUMMARY

The discussion centers on calculating the cross-sectional area of a cylindrical column with a radius of 2 cm and height of 5 cm. The formula for the cross-sectional area is established as A = πr², where π is approximately 3.14. Participants clarify that the cross-section of a cylinder is circular, and the calculation involves squaring the radius and multiplying by π. The final answer for the given dimensions is 12.56 cm².

PREREQUISITES
  • Understanding of basic geometry concepts, specifically circles and areas.
  • Familiarity with the mathematical constant π (pi).
  • Ability to perform exponentiation (squaring a number).
  • Basic arithmetic skills for multiplication.
NEXT STEPS
  • Learn more about calculating areas of different geometric shapes.
  • Study the properties of circles and their applications in real-world scenarios.
  • Explore advanced applications of π in engineering and physics.
  • Review mathematical concepts related to volume calculations for cylinders.
USEFUL FOR

This discussion is beneficial for students, educators, and anyone needing to understand the calculation of cross-sectional areas in geometry, particularly in relation to cylindrical shapes.

mountain
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hello guys!

i have a column with a shape of a cylinder. the radius is 2cm and the heigh is 5cm. i have to calculate the cross-sectional area of the column. i wonder what is the formula and how is the calculation? it has been a long time since i last had my math lectures, so i really hope for some help!

thanks a lot!
 
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Well, draw a picture of a cylinder and visualize/draw the cross-sec. area. What is the shape of this area? How do you find the area of figures of that shape?
 
hi sirus!

my problem is that i don't know what it means with "cross-sectional area"

if the column has a shape like a circular cylinder with a radius of 2cm and the length/high of the column is 5cm.

how would you find the cross-sectional area?

hope for ideas!
 
Imagine the cylinder standing one of its ends and make a horizontal cut through it. What shape do each of the NEW ends have? That is the cross section.
 
hi Tide!


cross-section is that, but what about cross-sectional area of the column? is that the areal of it?
 
I don't think mountain will be coming up with the correct answer anytime soon. So I'll just come straight out with the answer. The cross-section of a cylinder is in the shape of a -----e. No matter where you horizontally cut a standing cylinder, the ends of the cut pieces you make will be in a shape of a -----e.

Ooops, not quite as un-cryptic as I'd hoped. :smile: Another hint: The area of the cross section has something to do with the number 3.14159265...
 
Mountain,

Since Recon gave such a cryptic message -- prepare to slap yourself on the forehead --- the cross secion is a CIRCLE! :-)

I'm sure you can handle it from there.
 
Mountain, try to read up on this in your textbook a little. Once you grasp it, cross-sectional area will be easy for you.
 
Geeze guys! this is emergency and you guys are playing with my time
anyway i have got the answer from some more helpful people :-p it is A= pi*r^2 :cool: :approve:
 
  • #10
Sorry if you were pressed for time, but we don't give answers on this forum. We help people understand concepts and approaches to questions so they can find the answers themselves. You don't learn anything if someone gives you the answer to a question.
 
  • #11
alright it is easy this is how...Take the raduis(power of 2) after converting it to the power form then you multiply it by 3.14=Pie...The answer is your cross sectional area.

Example.

Suppose a diameter is 40 cm.I convert it to the radius that is 20 cm. Then i convert again the 20 cm in the power 2 format. That becomes 400 cm. After that you multiply the 400 by 3.14(Pie Calculation) that gives you 1256 cm..So 1256cm is your cross sectional area.
 
  • #12
Mountain your answer is 12.56cm..Your Welcome......And i am 12.And i answerd your question...LMFAO>>>>JUST A BIG LMFAO...jks...But the answer is correct
 

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