How to Find the Radius of a Sphere from Its Volume: Step-by-Step Formula

Learn how to calculate the radius of a sphere when you know its volume using a simple step-by-step formula.

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To find the radius of a sphere when you know its volume, you can use the formula for the volume of a sphere, V = (4/3)πr³, and solve for r. Here's a step-by-step guide: 1. Divide the volume by (4/3)π. 2. Find the cubic root of the result from step 1. This final value is the radius of the sphere. Using a calculator for cubic roots or an online tool can simplify the calculation process.

FAQs & Answers

  1. What is the formula to find the radius of a sphere from its volume? The radius r can be found using the formula r = ∛(3V/4π), where V is the volume of the sphere.
  2. How do you calculate the cubic root in the radius formula? You can calculate the cubic root using a scientific calculator, online tools, or programming functions designed to compute roots.
  3. Can I find the radius if I only know the surface area of the sphere? Yes, the radius can be found from surface area using r = √(Surface Area / 4π). However, this method differs from using volume.

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