Convertools

Cone Radius from Slant Height and Height

Calculate cone base radius from slant height and vertical height.

Author

Dr. Mateo Silva Herrera

Math editorial contributor

Colombian urban planner with a PhD from UCL, designing resilient infrastructure for flood-prone cities

Reviewed by

Prof. Hans Muller

Math content reviewer

German renewable energy engineer at TU Munich, pioneering grid-scale hydrogen storage solutions

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

20 units Slant Height; 3 units Height =

19.77372 units

Representative value from the Cone Radius from Slant Height and Height reference table.

Reference Values

Browse 48 reference values with individual detail pages for quick lookup.

Browse all reference values

Cone Radius from Slant Height and Height

Calculate cone base radius from slant height and vertical height.

Calculated Result

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Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Cone Radius from Slant Height and Height Reference
ScenarioCone Radius
1 units Slant Height; 0 units Height1 units
1 units Slant Height; 0.5 units Height0.866025 units
1 units Slant Height; 1 units Height0 units
2 units Slant Height; 0 units Height2 units
2 units Slant Height; 0.5 units Height1.936492 units
2 units Slant Height; 1 units Height1.732051 units
2 units Slant Height; 2 units Height0 units
5 units Slant Height; 0 units Height5 units
5 units Slant Height; 0.5 units Height4.974937 units
5 units Slant Height; 1 units Height4.898979 units
5 units Slant Height; 2 units Height4.582576 units
5 units Slant Height; 3 units Height4 units
5 units Slant Height; 5 units Height0 units
10 units Slant Height; 0 units Height10 units
10 units Slant Height; 0.5 units Height9.987492 units
10 units Slant Height; 1 units Height9.949874 units
10 units Slant Height; 2 units Height9.797959 units
10 units Slant Height; 3 units Height9.539392 units
10 units Slant Height; 5 units Height8.660254 units
10 units Slant Height; 10 units Height0 units
20 units Slant Height; 0 units Height20 units
20 units Slant Height; 0.5 units Height19.993749 units
20 units Slant Height; 1 units Height19.974984 units
20 units Slant Height; 2 units Height19.899749 units
20 units Slant Height; 3 units Height19.77372 units
20 units Slant Height; 5 units Height19.364917 units
20 units Slant Height; 10 units Height17.320508 units
20 units Slant Height; 20 units Height0 units
50 units Slant Height; 0 units Height50 units
50 units Slant Height; 0.5 units Height49.9975 units
50 units Slant Height; 1 units Height49.989999 units
50 units Slant Height; 2 units Height49.959984 units
50 units Slant Height; 3 units Height49.909919 units
50 units Slant Height; 5 units Height49.749372 units
50 units Slant Height; 10 units Height48.989795 units
50 units Slant Height; 20 units Height45.825757 units
50 units Slant Height; 30 units Height40 units
50 units Slant Height; 50 units Height0 units
100 units Slant Height; 0 units Height100 units
100 units Slant Height; 0.5 units Height99.99875 units
100 units Slant Height; 1 units Height99.995 units
100 units Slant Height; 2 units Height99.979998 units
100 units Slant Height; 3 units Height99.95499 units
100 units Slant Height; 5 units Height99.874922 units
100 units Slant Height; 10 units Height99.498744 units
100 units Slant Height; 20 units Height97.97959 units
100 units Slant Height; 30 units Height95.39392 units
100 units Slant Height; 50 units Height86.60254 units

Frequently Asked Questions

Common questions about Cone Radius from Slant Height and Height, formulas, and typical use cases.

What does the Cone Radius from Slant Height and Height calculator do?

It helps with solving cone dimensions when side length and vertical height are known.

What formula does the Cone Radius from Slant Height and Height calculator use?

Radius = √(slant² - height²).

What inputs are valid?

Slant height and height must be non-negative, and slant height must be at least as large as height.

When would I use this?

solving cone dimensions when side length and vertical height are known

Methodology and Review

This page combines a live calculator, precomputed reference values, and FAQ content from the same conversion definition to reduce mismatch between calculator output and lookup tables.

Editorial metadata (author, reviewer, and update date) is rendered on the page and in structured data. See our editorial policy, review process, and corrections policy.

For compliance-sensitive work, verify final values against project requirements, governing standards, and manufacturer documentation.