Constructing a border around a pool a circular pool measures 10 feet across. one cubic yard of concrete is to be used to create a circular border of uniform with around the pool. if the border is to have a depth of 3 inches how wide will the border be

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.

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step-by-step explanation:

2 tens + 6 ones

1 ten + 16 ones

0 tens + 26 ones