The value of pi is 3.1415926 ... the mathematics Archimedes believed that pi was between 3 1/7 3and 3 10/71. was archimedes correct

Yes, Archimedes was correct.

Step-by-step explanation:

Archimedes, the famed Greek and genius mathematician, inventor, and engineer (among other names), evaluated that the value of Pi was between 3 10/71 and 3 1/7ths.

The value of Pi that matter at this particular moment is 3.1415.

Calculate what 3 and 10/71ths is.

3 10/71 = 3.1408

Calculate what 3 and 1/7ths is.

3 1/7 = 3.1428

Pi does, in fact, fall between these two numbers.