Question

Toula calculates the cost of cementing the bottom and sides of a circular pond. When all costs are considered, the job will cost $175.85 per square metre of finished area. if the pond has a radius of 3 feet and a depth of 2 feet, how much will she charge for the job?

Answer 1

Explanation:

First, we need to calculate the area of the pond by using the formula for the area of a circle: πr^2, where r is the radius. In this case, the radius is 3 feet.

3^2 = 9

π * 9 = 28.27 square feet

Now, we need to find the volume of the pond to find the finished area by using the formula for the volume of a cylinder: πr^2h, where r is the radius, h is the height/depth.

28.27 * 2 = 56.54 cubic feet

Finally, we need to convert the square feet to square meters and multiply it by the cost per square meter.

56.54 square feet * 0.092903 square meters/square foot = 5.24 square meters

5.24 square meters * $175.85/square meter = $924.99.

So, the cost of cementing the bottom and sides of the circular pond would be $924.99