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Why is pi not a rational number?
That's just the way it worked out. Pi is the ratio of the circumference of a circle to its diameter, and it just worked out that this ratio is an irrational number.
What is the ratio of volume of a cone to the volume of a cylinder with same ratio?
It is 3:1. This is because volume of a cone is pi/3*r*r*h while vol of a cylinder is pi*r*r*h.
Is pi an irrational or a rational number?
Pi is an irrational number. A rational number is one that can be expressed as a fraction (or ratio), e.g. 1/3. There are fractions that are near Pi, for example: 22/7 = 3.142857 (PI = 3.14159265...) A closer fraction is: 355/113 = 3.14159292 However whatever fraction you have, you will never get exactly PI. Hence it is irrational See the links for proofs that pi is irrational.
What is an example of an irrational number?
Pi, the numerical value of the ratio of the circumference of a circle to its diameter.
Why pi is irrational number?
First of all you need to understand how did Pi come up. consider a cake that you bought and then you cut it in 7(or more) diameters. Then you take those separate "pastries" and then arrange such that it represents like a crocodile teeth. (Trying my best to graphically represent it:) VAVAVAVAV.. Q: Now what is a circumrence? A: diameter times pi. the circumfrence(C) of the circle is represented here in dots(..) .................... :VAVAVAVAV: `````````` so C= p*d (p=pi) therefore, p=C/d Hence, Pi is nothing but a ratio (that is a fraction) And the ratio of the dots above(circumference) to the sum of the V's and A's lengths is never perfect. Hence it is irrational.
