A cylindrical rain barrel with a diameter of 2.5 feet and a height of 3.5 feet is filled to a height of 1.5 feet. How many more gallons of water can the barrel hold? Round your answer to the nearest whole number.

the barrel can hold additional 72 gallons of water.

Step-by-step explanation:

The formula for determining the volume of the cylindrical barrel is expressed as

Volume = πr²h

Where

r represents the radius of the cylindrical barrel.

h represents the height of the cylindrical barrel

π is a constant whose value is 3.14

From the information given,

Diameter = 2.5 feet

Radius = diameter/2 = 2.5/2

Radius = 1.25 feet

Height = height = 3.5 feet

Volume of barrel = 3.14 × 1.25² × 3.5

= 17.17 ft³

The height of water in the barrel is 1.5 ft. It means that the volume of water in the barrel is

3.14 × 1.25² × 1.5 = 7.56ft³

The additional volume of water that the barrel can hold is

17.17 - 7.56 = 9.61 ft³

1 cubic foot = 7.481 gallons

9.61 cubic foot = 9.61 × 7.481

= 72 gallons