A circular aboveground pool has a diameter of 8ft and stands 5.5ft off the ground. If the pool company charges an installation fee of $11 per square ft, how much will the installation cost?
Do you mean per square foot of pool surface area or of pool wall area? In either case, multiply that area by $11/ft^2
Since they have you the height, they might mean the wall area.
i think surface area
To find the installation cost, we first need to calculate the surface area of the circular pool, since the installation fee is charged per square foot.
The formula to find the surface area of a circle is:
A = πr^2
where A is the surface area and r is the radius of the circle. In this case, we have the diameter of the pool, which is 8ft. The radius (r) can be calculated by dividing the diameter by 2:
r = d/2 = 8ft/2 = 4ft
Now, substitute the value of the radius into the formula:
A = π(4ft)^2
A = 16π ft^2
The installation fee is given as $11 per square foot, so we need to multiply the surface area by the installation fee:
Cost = A * Fee
Cost = 16π ft^2 * $11/ft^2
Since we don't have an exact value for π, we can use an approximation. Taking π as approximately 3.14:
Cost ≈ 16 * 3.14 * $11
Cost ≈ $553.28
Therefore, the installation cost for the circular aboveground pool would be approximately $553.28.