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?

Aghhhh! I completely don't get it!!

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Don't worry, I'll walk you through the process step by step.

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 find the volume of a cylinder is V = πr²h, where V represents volume, π is a constant (approximately 3.14), r is the radius of the circular base, and h is the height of the cylinder.

Given that the diameter is 2.8 feet, we can find the radius by dividing the diameter by 2. So the radius (r) of the barrel is 2.8 feet / 2 = 1.4 feet.

Now, we can substitute the values in the formula: V = 3.14 * (1.4 feet)² * 8 feet.

Calculating this equation, we get V = 17.48 cubic feet.

Next, we know that 1 cubic foot holds about 7.5 gallons of liquid. So to find the number of gallons the barrel can hold, we multiply the volume (in cubic feet) by the conversion factor of 7.5 gallons per cubic foot:

Gallons = 17.48 cubic feet * 7.5 gallons per cubic foot.

Simplifying the equation, we find that the barrel can hold approximately 131.1 gallons of water.

Therefore, the cylindrical barrel can hold approximately 131.1 gallons of water.

Audrey -- you've posted many math questions tonight. It looks like you need to stop and study your textbook very thoroughly.