SSAT Math Question 310: Answer and Explanation

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Question: 310

4. Cinquemani Family Pasta Sauce comes in cylindrical jars that serve 4. The jars have a base diameter of 8 cm and a height of 4 cm. They want to start selling the sauce in single-serve jars that are the same height. What will the base diameter be?

A. 2 cm
B. 4 cm
C. 8 cm
D. 16 cm

Correct Answer: B

Explanation:

The answer is B

First, find the volume of the larger cylinder jars to determine how much sauce each one contains. The volume of a cylinder is given by V = πr²h, where r is the radius of the cylinder and h is its height. The radius in this case is 4, as the diameter is 8. Plug in the given values: V = π(4)²4 = 64π. Because the jars serve four people, the volume of a single-serve jar will be (64π) = 16π. Now solve for the radius of the smaller jars, given the volume and height of 4: 16π = π(r)²4, so r = 2. As the question asks for the diameter, the answer is 4.

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