Math CentralQuandaries & Queries


Question from Brett, a student:

What is inside radius, in centimeters of a coffee cup if it holds 350g of coffee when filled to a depth of 9.5 cm? Assume coffee has the same density of water, 1.00g/cm3. A numeric value is expected and not an expression.

Hi Brett,

Since the density of coffee is 1.00 gram per cubic centimeter the 350 grams of coffee has a volume of 350 cubic centimeters.

The shape of the coffee in the cup is approximately a circular cylinder. What is the formula for the volume of a circular cylinder in terms of its radius and height. You know the volume and the height. Solve for the radius.


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