Suppose that you want to design a cylinder with the same volume as a given cylinder but you want to use a diff radius and height in general terms can you change r and h to produce the same volume for both cylinders

Yes, r and h can be changed to produce same volume by;

Increasing "r" and decreasing "h" or by decreasing "r" and increasing "h".

Step-by-step explanation:

What the question is simply asking is if we can get same volume of a particular cylinder if we change the radius and height.

Now, volume of a cylinder is;

V = πr²h

Now, for the volume to remain the same, if we increase "r", it means we have to decrease "h", likewise, if we decrease "r", we now have to increase "h".

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.