Digital PSAT Math Practice Question 316: Answer and Explanation

Question: 316

The volume of a particular cylinder is x cubic inches. If the height of the cylinder is tripled while the radius of the cylinder remains the same, what will the new volume of the cylinder be in terms of x?

• A. 2x
• B. 3x
• C. 4x
• D. 5x

Correct Answer: B

Explanation:

(B) The volume for a cylinder is one of the given formulas: $V={餽}^2\mathrm{h}$. If the height is tripled while the radius remains the same, the volume of the new cylinder will be ${餽}^2\left(3\mathrm{h}\right)\to 3\left({餽}^2\mathrm{h}\right)$. So, it is triple the original value, making the correct answer 3x.