Answer:
13 cm
Step-by-step explanation:
Area of the square is [tex]169 \:\:cm^{2}[/tex]
The square is rotated to form a cylinder. Now, we first need to find the side of the square, the cylinder is formed by rotating along its side.
Now area of square [tex]169 \:\:cm^{2}[/tex]
We know that area of square is [tex]\text{side}\times\text{side}[/tex]
So, [tex]\text{side}\times\text{side}=169[/tex]
[tex]\text{side}\times \text{side}=13\times13[/tex]
[tex]\text{side}=13 \:\text{cm}[/tex]
Now, as the cylinder is formed by rotating along its length, and we know that all the sides of a square is equal.
So, one side becomes the height of the cylinder and the other becomes the circumference.
Hence, the height of the cylinder is 13 cm.
