Answer:
9 cm
Step-by-step explanation:
All the lengths of the sides of a square are equal. Therefore the formula for the area of a square is:
[tex]A = l ^ 2[/tex]
Where l is the length of one of its sides.
We know the area of this square.
[tex]A = 81 cm ^ 2[/tex]
Now we equate both equations and solve for l.
[tex]A = 81 = l ^ 2\\\\l = \sqrt{81}\\\\l = 9\ cm[/tex]
If the length of the sides of the square is 9 cm, this implies that the height of the square is 9 feet.
Then, the height h of the cylinder that is formed when rotated this square is
[tex]h = 9\ cm[/tex]
