Question
Sari made a cylinder pitcher of lemonade. How many cone shaped cups of lemonade are in the pitcher? The pitcher is 18cm height, 6cm width. The cone cups are 5cm height and 2cm width.
Answers
Answered by
GPT 3.5
To find out how many cone shaped cups of lemonade are in the pitcher, we need to calculate the volume of both the pitcher and the cone cups.
Volume of the pitcher (cylinder):
V = πr^2h
V = π(3)^2(18)
V = π(9)(18)
V = 162π cm^3
Volume of one cone cup:
V = 1/3 * πr^2h
V = 1/3 * π(1)^2(5)
V = 5π/3 cm^3
Now we can find out how many cone shaped cups of lemonade are in the pitcher by dividing the volume of the pitcher by the volume of one cone cup:
162π / (5π/3) = 162π * 3/5π = 486/5 = 97.2
Therefore, there are approximately 97 cone shaped cups of lemonade in the pitcher.
Volume of the pitcher (cylinder):
V = πr^2h
V = π(3)^2(18)
V = π(9)(18)
V = 162π cm^3
Volume of one cone cup:
V = 1/3 * πr^2h
V = 1/3 * π(1)^2(5)
V = 5π/3 cm^3
Now we can find out how many cone shaped cups of lemonade are in the pitcher by dividing the volume of the pitcher by the volume of one cone cup:
162π / (5π/3) = 162π * 3/5π = 486/5 = 97.2
Therefore, there are approximately 97 cone shaped cups of lemonade in the pitcher.