Question

A circular backyard pool has a diameter of 26 feet and is 3 feet deep. One cubic foot of water has a capacity of approximately 7.48 gallons. If water costs $3 per thousand gallons, how much, to the nearest dollar, will it cost to fill the pool?

It will cost approximately $___ to fill the pool. (Round to the nearest dollar as needed.)

Answer 1

The cost to fill the pool is approximately $757 to fill the pool.

Step-by-step explanation:

To find the volume of the pool, we can use the formula for the volume of a cylinder:

`V = πr^2^h.`

Plugging in the values, we have

`V = π(13^2)(3)`

= 507π cubic feet.

Since 1 cubic foot is approximately 7.48 gallons, the pool holds approximately 507π * 7.48 gallons of water.

Using the given cost of $3 per thousand gallons, we can calculate the cost to fill the pool as follows:

Cost = (507π * 7.48 gallons) * ($3 / 1000 gallons)

Approximating π as 3.14 and calculating the expression, we find that the cost to fill the pool is approximately $757.