Question

A square with an area of 81cm^2 is rotated to form a cylinder. What is the height of the cylinder

Answer 1

9 cm

Explanation:

All the lengths of the sides of a square are equal. Therefore the formula for the area of a square is:

`A = l ^ 2`

Where l is the length of one of its sides.

We know the area of this square.

`A = 81 cm ^ 2`

Now we equate both equations and solve for l.

`A = 81 = l ^ 2\\\\l = √(81)\\\\l = 9\ cm`

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

`h = 9\ cm`