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 cm2, and the height of the can is 10 cm. If 110 cm3 of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?
Correct answer: C. 640 cm3
- A. 7.5 cm3
- B. 185 cm3
- C. 640 cm3
- D. 750 cm3
Explanation
Choice C is correct. The total volume of the cylindrical can is found by multiplying the area of the base of the can, 75 cm2, by the height of the can, 10 cm, which yields 750 cm3. If the syrup needed to fill the can has a volume of 110 cm3, then the remaining volume for the pieces of fruit is 750 - 110 = 640 cm3.
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