Posted by Cassie on Monday, February 18, 2013 at 1:08am.
I need to find the volume of a cylinder. Use 3.14 for pi...I think the answer is 24,501.42 m^2...the picture shown is a cylinder with a diameter of 34m and a heigth of 27m
I know how to work these problems out and I got 24,501.42m^2 but the computer is giving me an answer of 24,523.71...please check my answer...thank you
Algebra - Reiny, Monday, February 18, 2013 at 1:12am
V = πr^2 h
= π (17^2)(27) = 24513.84
using 3.14 for π
V = 4.14(17^2)(27) = 24501.42
you are right!
Algebra - Cassie, Monday, February 18, 2013 at 1:13am
You meant to put 3.14 on the secon part...right?
Algebra - Cassie, Monday, February 18, 2013 at 1:25am
second part I meant....right??
Algebra - Jeff, Monday, February 18, 2013 at 1:26am
You did the problem correctly. I am not sure how exactly you entered the numbers into the computer for pi, but it looks like with an answer of 24,523.71 the computer used an approzimation for pi based on the fraction 22/7.
22/7 = 3.142857....
If you plug the 22/7 instead of 3.14 you will get what the computer gets...
Algebra - Cassie, Monday, February 18, 2013 at 1:34am
Thank you Jeff....
Algebra - Reiny, Monday, February 18, 2013 at 2:01am
I find it very odd, that the "computer" would use 22/7 for the value of π.
Surely it would have better value than that built in
Even the cheapest calculator will use about 9 decimal places for accuracy.
It looks to me that whatever "input routine" they are using, needs an immediate update to bring it into the 21st century.
Algebra - Jeff, Monday, February 18, 2013 at 3:09am
Reiny, Agreed, but that is what it appears to be using. I am guessing it was a software program and not the actual computer using that approximation.
What really irks me about pi is that most people know it is 3.1415....., but have NO idea what it actually represents....
Algebra - Jeff, Monday, February 18, 2013 at 3:12am
BTW Cassie, please please always remember that pi is simply a circle's circumference divided by it's diameter. For every circle, no matter the size...
This is why it shows up in so many formulas for circles, cylinders, cones, etc.
Algebra - Cassie, Monday, February 18, 2013 at 8:46am
ok ....thank you
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