The volume of a sphere is given by the formula V = 4/3πr3, where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
Correct answer: D. 3√3V/4π
- A. 4π/3V
- B. 3V/4π
- C. 3√4π/3V
- D. 3√3V/4π
Explanation
Choice D is correct. Dividing both sides of the equation V = 4/3 πr3 by 4/3π results in 3V/4π = r3. Taking the cube root of both sides produces 3 √3V/4π = r. Therefore, 3 √3V/4π gives the radius of the sphere in terms of the volume of the sphere.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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