How to Calculate the Radius of a Cone Using Height and Slant Height

Learn how to find the radius of a cone using height and slant height with the Pythagorean theorem.

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To find the radius (r) with height (h) and slant height (l) of a cone, you can use the Pythagorean Theorem. The formula is: `r = sqrt(l^2 - h^2)`. First, square the slant height (l) and height (h) and then subtract the height squared from the slant height squared. Finally, take the square root of the result to find the radius.**

FAQs & Answers

  1. What is the formula to find the radius of a cone? The radius (r) can be found using the formula: r = sqrt(l^2 - h^2), where l is the slant height and h is the height.
  2. Can the radius be found without the slant height? No, to calculate the radius using the Pythagorean theorem, both the height and slant height are required.
  3. How do I measure the slant height of a cone? The slant height can be measured directly as the distance from the tip of the cone to any point on the base edge.
  4. Why is the Pythagorean theorem used for cones? The Pythagorean theorem relates the sides of a right triangle formed by the height, radius, and slant height of a cone.

Watch More

For more related content on cone geometry and formulas, check out our videos on calculating volume and surface area of cones.

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