Answer:
The answer to your question is 600 cups
Step-by-step explanation:
Data
Cylinder Cup
diameter = 30 in diameter = 3 in
height = 24 in height = 4 in
Process
1.- Calculate the volume of the cylinder
Volume = πr²h
-Substitution
Volume = (3.14)(30/2)²(24)
-Simplification
Volume = (3.14)(15)²(24)
Volume = (3.14)(225)(24)
-Result
Volume = 16959 in³
2.- Calculate the volume of the cup
Volume = (3.14)(3/2)²(4)
-Simplification
Volume = (3.14)(1.5)²(4)
Volume = (3.14)(2.25)(4)
-Result
Volume = 28.26 in³
3.- Divide the volume of the cylinder by the volume of the cup
Number of full cups = 16959 in³ / 28.26 in³
Number of full cups = 600
Answer: 600 full cups
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
Considering the cylindrical cooler,
Diameter = 30 inches
Radius = diameter/2 = 30/2
Radius = 15 inches
Height = 24 inches
Therefore,
Volume of cylindrical cooler =
3.14 × 15² × 24 = 16956 inches³
Considering the cup
Diameter = 3 inches
Radius = 3/2 = 1.5 inches
Height = 4 inches
Therefore,
Volume of can = 3.14 × 1.5² × 4 = 28.26 inches³
Therefore, the number of full cups that can be filled from the cooler is
16956/28.26 = 600
