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

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