Susie is opening her pool up for the summer and wants to know how much it will cost to fill it up to work into her monthly budge
t. She has a cylindrical pool that measures 20 feet across and 6 feet tall. If her water company charges her $1.68 per cubic foot, what will be the cost to fill up the pool?
If it measures 20 feet across, that means 10 feet will be the radius; furthermore, the height of 6 feet is given in the prompt. Now we can plug those in to the formula for the volume of a cylinder to find the capacity in cubic feet: πr² × h ≈ π × 10² × 6 = 600π. Now that we have the number of cubic feet of water it will take to fill the pool, we can just multiply that by 1.68 to find the cost, giving us $1008π, or $3166.73 if your teacher prefers that you don't answer in terms of π.
