How to Calculate the Radius of a Sphere: Volume and Surface Area Formulas

Learn how to find the radius of a sphere using volume and surface area formulas. Essential for geometry, physics, and engineering.

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The formula for finding the radius of a sphere is derived from its volume or surface area. If you know the volume, use r = (3V / 4π)^(1/3), where V is the volume. For the surface area, use r = (A / 4π)^(1/2), where A is the surface area. These formulas are essential in fields like geometry, physics, and engineering for calculating the dimensions of spherical objects accurately.

FAQs & Answers

  1. What is the formula for the volume of a sphere? The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.
  2. How do you derive the radius from the volume? To find the radius from the volume, use r = (3V / 4π)^(1/3).
  3. What is the surface area of a sphere? The surface area of a sphere is given by the formula A = 4πr².
  4. Why is calculating the radius of a sphere important? It's important for applications in physics, engineering, and various scientific calculations.

Watch More

For more insights into geometric concepts, check out our videos on calculating volume and surface area of various shapes.

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