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Answer :
Final answer:
The cylindrical cooler with a radius of 7 inches and a height of 18 inches can hold about 11.1 gallons of juice, after converting the calculated volume of the cylinder from cubic inches to gallons.
Explanation:
The question asks for the calculation of the volume of juice a cylindrical cooler can hold. To solve this problem, we use the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height. For the given cooler with a radius of 7 inches and a height of 18 inches, we calculate the volume in cubic inches and then convert this to gallons knowing that one cubic inch contains about 0.004 gallons of juice.
First, we find the volume of the cylinder:
V = π(7 inches)²(18 inches)
V = π(49)(18)
V = π(882)
V ≈ 3.14159×882 ≈ 2770.866 cubic inches
Now, convert the volume to gallons:
Gallons = 2770.866 cubic inches × 0.004 gallons/cubic inch
Gallons ≈ 11.083464 gallons
After rounding to the nearest tenth, the cooler holds about 11.1 gallons of juice.
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