How to Calculate the Radius of a Closed Cylinder: Step-by-Step Guide

Learn how to calculate the radius of a closed cylinder using volume and height with our easy-to-follow guide.

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To find the radius of a closed cylinder, you need its volume and height. Use the formula for the volume of a cylinder: V = πr²h. Rearrange to solve for the radius (r): r = √(V / (πh)). Plug in the given values for volume (V) and height (h) to calculate the radius.

FAQs & Answers

  1. What is the formula to find the radius of a cylinder? The formula to find the radius (r) of a cylinder is r = √(V / (πh)), where V is the volume and h is the height.
  2. How do you calculate the volume of a cylinder? The volume (V) of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height.
  3. Can the radius be found without knowing the height? No, both the volume and height of the cylinder are required to calculate the radius.
  4. What is the significance of the radius in cylinder geometry? The radius is crucial as it determines the size of the base of the cylinder, influencing its volume and surface area.

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