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Area and volume SAT question
Math · Geometry and Trigonometry · Medium · Answer it here, explanation included.
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 
, and the height of the can is 10 cm. If 
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?
ExplanationShow
Choice C is correct. The total volume of the cylindrical can is found by multiplying the area of the base of the can, , by the height of the can, 10 cm, which yields 
. If the syrup needed to fill the can has a volume of , then the remaining volume for the pieces of
fruit is 
.
Choice A is incorrect because if the fruit had a volume of 
, there would be 
of syrup needed to fill the can to the top. Choice B is incorrect because if the fruit had a volume of 
, there would be 
of syrup needed to fill the can to the top. Choice D is incorrect because it is the total volume of the can, not just of the pieces of fruit.
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