A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of

Question

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 $75 centimeters squared$ , and the height of the can is 10 cm. If $110 centimeters cubed$ 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?

A.

$7 point 5 centimeters cubed$

B.

$185 centimeters cubed$

C.

$640 centimeters cubed$

D.

$750 centimeters cubed$

Accepted Answer

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.

Question a-cyli