A right circular cylinder has a radius of r and a height of h. If its volume is V, and its lateral surface area is A, what is the ratio V/A in terms of r and h?

A r/2

B h/2

C r/h

D r/(2h)

✓ Correct Answer: Option A

The volume of a cylinder is V = πr²h. The lateral surface area of a cylinder is A = 2πrh. The ratio V/A = (πr²h) / (2πrh). Cancel out common terms (π, r, h), leaving r/2.

💡 Why is A) the correct answer?

The correct answer to the question "A right circular cylinder has a radius of r and a height of h. If its volume is V, and its lateral surface area is A, what is the ratio V/A in terms of r and h?" is Option A: r/2.

The other options — B) h/2, C) r/h, D) r/(2h) — are incorrect for this GRE Exam Prep question. As explained above: The volume of a cylinder is V = πr²h. The lateral surface area of a cylinder is A = 2πrh. The ratio V/A = (πr²h) / (2πrh). Cancel out common terms (π, r, h), leaving r/2.

📚 About This GRE Exam Prep Practice Question

This 4-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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A right circular cylinder has a radius of r and a height of h. If its volume is V, and its lateral surface area is A, what is the ratio V/A in terms of r and h?

✓ Correct Answer: Option A

📚 About This GRE Exam Prep Practice Question

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