SAT question a2e76b60 (Area and Volume)

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 $75$ square centimeters, and the height of the can is $10$ centimeters. If $110$ cubic centimeters 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?

64

Difficulty:Medium

A

$7.5$ cubic centimeters

B

$185$ cubic centimeters

C

$640$ cubic centimeters

D

$750$ cubic centimeters

College Board · Accepted Answer

The correct answer is C. Choice C is correct. The total volume of the cylindrical can is found by multiplying the area of the base of the can, 75 square centimeters, by the height of the can, 10 centimeters, which yields 750 cubic centimeters. If the syrup needed to fill the can has a volume of 110 cubic centimeters, then the remaining volume for the pieces of fruit is 750 - 110 = 640 cubic centimeters.

CookSAT · Answer

Note: Multiply the base area by the height for the can's volume, then subtract the syrup.

Explanation

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Why the other choices are wrong

SAT Question a2e76b60: Area and Volume answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong