Answer:
So, the closest answer is B. 166,050 gallons. Please check the explanation below to help you remember the steps.
Explanation:
The volume of a trapezoidal prism (which this pool is, due to the constant slope from the shallow to the deep end) can be calculated using the formula:
V = 1/2(a + b) x h x a
where a and b are the depths of the shallow and deep ends, h is the length of the pool, and A is the surface area of the pool.
However, we don't know the length of the pool, but we do know the surface area. We can use the surface area to represent the product of the length and width of the pool. So, we can modify the formula to:
V = 1/2(a + b) x A
Substituting the given values:
V = 1/2(4ft + 8ft) x 3690 ft^2
V = 22,140 ft^3
Since 1 cubic foot is approximately 7.48 gallons, we can convert the volume to gallons:
V = 22,140 ft^3 x 7.48 gallons / ft^3
V = 165, 787 gallons
So, the closest answer is B. 166,050 gallons.