Answer:
We get w = 1.508 feet.
Step-by-step explanation:
Let w be the width of the border.
The diameter of the pool will be 10 feet.
The depth will be 3 inches. So, we will convert it to feet.
3 inches =
The circular area including pool and the border, radius =
Border area = Total area - pool area
=
Putting pi = 3.14 and solving the expression we get the following equation:
As given one cubic yard of concrete is to be used, this is the volume to be used.
1 cubic yard = 27 cubic feet
Now using the volume given and thickness of this area that is 0.25 feet.
Solving this quadratic equation, we get w = 1.508 feet and w = -11.508 feet.
Neglecting the negative value, we get w = 1.508 feet.