A cylindrical cooler has a diameter of 30 inches and a height of 24 inches . If a cup has a diameter of 3 inches and a height of 4 inches about how many full cups could be able to be filled from the cooler ?

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

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

isi

step-by-step explanation:

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