Math CentralQuandaries & Queries


Question from Gayle, a parent:

Given a cylindrical container that holds 45 imp. gallons and is 42 inches high, find the diameter

Hi Gayle,

First you need to know how many cubic inches there are in an imperial gallon. Google can help with this. Type 1 Imperial gallon in cubic inches into the Google search engine and the response is 1 Imperial gallon = 277.419547 cubic inches.

Suppose the radius of the cylinder is $r$ inches. Write an expression for the volume of a cylinder of radius $r$ inches and a height of 42 inches. Set that equal to $45 \times 277.419547$ and solve for $r.$

Write back if you need more assistance,

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