PSAT Math Multiple-Choice Question 270: Answer and Explanation

Question: 270

Find the volume in cubic inches of a cylinder with a circumference of 14𝝅 inches and a height of 12 inches.

• A. 294π
• B. 588π
• C. 1,176π
• D. 2,352π

Correct Answer: B

Explanation:

The correct solution is 588π. Find the radius by substituting in the circumference and dividing by 2π, 14π = 2πr; r = 7 inches. Substitute the values into the formula and simplify using the order of operations, V = π r² h = π 7²(12) = π(49)(12) = 588π cubic inches. See Lesson: Measurement and Dimension.