Circular Pol

Circular Pol
Please I need help! I know its long but help!! please.. Math help!:) thanks?

you are having an in ground circular pol installed in your backyard. The pool is to be 36 feet in diameter and will have an average depth of 4 ft. You have constructed with a local water delivery service to have pool filled. The service charges 1.5 cents per gallon. What will it cost you to fill the pool of 1 cubic foot of water is equal to 7.5.

You also have plan to have a 4 foot wide walkaway installed around the entire circumference of the pool. The current price of cement is $90 per cubic yard. If the sidewalk is to be 4 inches thick, what will the cement cost? Use the pie 3.14 for both parts of the problem

For the first part, find the volume of the pool:

V = pi*r^2*h
V = pi*(18^2)(4)
V = 1296pi

Thus, you have 1296pi ft^3 of water, which is 9720pi gallons, which will cost you about $458 to fill.

For the walkway, it’s easier if you take the area of the pool and walkway, and then subtract the area of the walkway:

A = (pool+walk) – (pool)
A = pi(18+4)^2 – pi(18^2)
A = 160pi

The walkway will be 4 inches thick, or 1/3 ft. Thus, the volume of cement needed is 160pi/3 ft^3. There are 27 ft^3 to a yd^3, so the volume needed would be 160pi/81 yd^3, which will cost you about $558.50.

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