You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Each customer uses one paper cup. How many paper cups will you need if you sell all of the lemonade? (1 gal ≈ 3785 cm3)

You will need 119 cups to sell all of the lemonade.Step-by-step explanation:Given, Diameter of cups = 9 cm Radius of cup = [tex]\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm[/tex]Height of cups = 12 cm We will find volume of cup.[tex]Volume = \frac{1}{3}\pi r^2h\\[/tex]Putting all the values [tex]Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3[/tex]Therefore; Each cup can hold 254.34 cubed centimeter of lemonade.Number of gallons = 8 1 gallon = 3785 cm³8 gallons = 3785*8 = 30280 cm³Let, x = Number of cups Volume of lemonade in one cup * Number of cups = Volume of 8 gallons 254.34x=30280Dividing both sides by 254.34[tex]\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05[/tex]Rounding off to nearest whole number x = 119 You will need 119 cups to sell all of the lemonade.Keywords: volume, division Learn more about volume at:brainly.com/question/1836777brainly.com/question/1993757#LearnwithBrainly