a cylindrical barrel is 2.8 feet in diameter and 8 feet high. If a cubic foot holds about 7.5 gallons of liquid, how manygallons of water will this barrel hold?
Please explain throughly
To find the number of gallons of water the barrel can hold, we first need to calculate the volume of the barrel.
The formula to calculate the volume of a cylinder is given by V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the diameter of the barrel is 2.8 feet, the radius (r) can be calculated by dividing the diameter by 2:
r = 2.8 ft / 2 = 1.4 ft
The height (h) of the barrel is 8 feet.
Using these values, we can now calculate the volume:
V = π(1.4 ft)^2(8 ft)
V ≈ 3.14 * 1.96 ft^2 * 8 ft
V ≈ 49.42 ft^3
Now we know that one cubic foot holds about 7.5 gallons of liquid. So, to find the number of gallons, we can multiply the volume by the conversion factor:
49.42 ft^3 * 7.5 gallons/ft^3
Calculating the result:
49.42 ft^3 * 7.5 gallons/ft^3 ≈ 370.65 gallons
Therefore, the barrel can hold approximately 370.65 gallons of water.
To find the number of gallons of water that the cylindrical barrel can hold, we need to calculate its volume. The volume of a cylindrical object can be calculated using the formula:
Volume = π * r^2 * h
where π is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.
In this case, we are given the diameter of the barrel, which is 2.8 feet. The radius can be calculated by dividing the diameter by 2:
radius = diameter / 2 = 2.8 feet / 2 = 1.4 feet
The height of the barrel is given as 8 feet.
Now that we have the radius and height, we can calculate the volume of the barrel:
Volume = π * (1.4 feet)^2 * 8 feet
≈ 3.14159 * 1.96 square feet * 8 feet
≈ 49.3484 cubic feet
We know that 1 cubic foot holds about 7.5 gallons of liquid. Therefore, to find the number of gallons the barrel can hold, we can multiply the volume of the barrel by the conversion factor:
Number of gallons = 49.3484 cubic feet * 7.5 gallons/cubic foot
≈ 370.1148 gallons
Therefore, the cylindrical barrel can hold approximately 370.1148 gallons of water.
Hello, again, Audrey.
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