A cylindrical pail has a radius of 7 inches and a height of 10 inches. Approximately how many gallons will the pail hold if there are 231 cubic inches to a gallon? (Use \(\pi = \frac{22}{7}\))

Question

27-08-2024
Mathematics

High School

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A cylindrical pail has a radius of 7 inches and a height of 10 inches. Approximately how many gallons will the pail hold if there are 231 cubic inches to a gallon? (Use \(\pi = \frac{22}{7}\))

Answer :

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kalaiselvij523 kalaiselvij523 · Answer 1 · 2025-05-21T10:50:15-04:00

Final answer:

To calculate the number of gallons a cylindrical pail can hold, you first calculate the volume of the pail in cubic inches using the cylinder volume formula, and then convert this volume to gallons using the conversion factor 1 gallon equals 231 cubic inches. The given cylindrical pail with a radius of 7 inches and a height of 10 inches holds approximately 6.67 gallons.

Explanation:

The subject of this question is determining the volume of a cylinder and converting it to gallons. The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.

For the cylindrical pail mentioned in the question, the radius is 7 inches and the height is 10 inches. Hence, substituting these values into the volume formula, we have: V = (22/7) * (7)² * 10 = 1540 cubic inches.

Now, to convert cubic inches to gallons, we use the given conversion factor that 1 gallon is equal to 231 cubic inches. Therefore, 1540 cubic inches is approximately equal to: 1540 / 231 = 6.67 gallons.

Learn more about Cylinder Volume Calculation here:

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