A cylinder has a radius of 18 in. and a height of 48 in. If there are approximately 225 cubic inches in one gallon, how many gallons will the cylinder hold?

Calculate Volume: Calculate the volume of the cylinder using the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius and h is the height.Convert to Gallons: Convert the volume from cubic inches to gallons using the conversion factor given in the problem, which is approximately 225 cubic inches in one gallon.Perform Division: Perform the division to find the number of gallons the cylinder can hold.

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A cylinder has a radius of $18\,\text{in.}$ and a height of $48\,\text{in.}$ If there are approximately $225\,\text{cubic inches}$ in one gallon, how many gallons will the cylinder hold?

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Grade 7

Solve proportions: word problems

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Q. A cylinder has a radius of

18\,\text{in.}

and a height of

48\,\text{in.}

If there are approximately

225\,\text{cubic inches}

in one gallon, how many gallons will the cylinder hold?

Calculate Volume: Calculate the volume of the cylinder using the formula for the volume of a cylinder, which is $V = \pi r^2 h$ , where $r$ is the radius and $h$ is the height.
Convert to Gallons: Convert the volume from cubic inches to gallons using the conversion factor given in the problem, which is approximately $225$ cubic inches in one gallon.
Perform Division: Perform the division to find the number of gallons the cylinder can hold.