Multiple choice

A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of 75 square centimeters, and the height of the can is 15 cm. If 850 cubic centimeters of syrup is needed to fill the can to the top, which of the following is the total volume of the pieces of fruit in the can?

  1. 275 cubic centimeters

  2. 325 cubic centimeters

  3. 500 cubic centimeters

  4. 850 cubic centimeters
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A Correct answer
Explanation

The total volume of the can is base area * height = 75 * 15 = 1125 cubic centimeters. The volume of the fruit is the total volume minus the volume of the syrup: 1125 - 850 = 275.

AI explanation

The total volume of the cylindrical can is found by multiplying the base area by the height, giving 75 * 15 = 1125 cubic centimeters. The pieces of fruit occupy the volume not taken by the syrup. Subtracting the 850 cubic centimeters of syrup from the 1125 total volume leaves 275 cubic centimeters for the fruit.

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