Question

A square with an area of 169 cm^2 is rotated to form a cylinder. What is the height of the cylinder?

Answer 1

check the picture below.

Answer 2

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.