2 Answers

Shaul Dar · Answer 1 · 2018-03-09T15:48:32+0000

Answer:

13 cm

Explanation:

Area of the square is
$169 \:\:cm^(2)$

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
$169 \:\:cm^(2)$

We know that area of square is
$\text{side}*\text{side}$

So,
$\text{side}*\text{side}=169$

$\text{side}* \text{side}=13*13$

$\text{side}=13 \:\text{cm}$

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.

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