SAT Mathematics Practice Test 7

Question : 43 of 59

Marks: +1, -0

A cylindrical can containing pieces of fruit is filled tothe top with syrup before being sealed. The base of the can has an area of 75

\text "cm"^2

, and the height of the can is 10 cm. If 110

\text "cm"^3

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?

Solution:

The total volume of the cylindrical can is found by multiplying the area of the base of the can, 75

\text "cm"^2

, by the height of the can, 10 cm, which yields 750

\text "cm"^3

. If the syrup needed to fill t he can has a volume of 110

\text "cm"^3

, then the remaining volume for the pieces of fruit is 750 – 110 = 640

\text "cm"^3

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