Cone Slant Height Calculator
How to use this Cone Slant Height Calculator 🤔
- Enter ✎ value for radius (r).
- Enter ✎ value for height (h).
- As soon as you enter the required input value(s), the Cone Slant Height is calculated immediately, and displaed in the output section (present under input section).
Calculation
Once you enter the input values in the calculator, the output parameters are calculated.
Examples
The following examples cover how to calcualte the Slant Height when radius, and height are given.
1. What is the Slant Height of Cone whose radius is 20 units, and height is 10 units?
Answer
Given:
- radius, r = 20 units
- height, h = 10 units
The formula to find the Slant Height of a Cone is:
l = \( \sqrt{ r ^2 + h ^2 } \)
Substitute given values in the above formula.
l = \( \sqrt{20^2 +10^2 } \)
l = 22.36 units
∴ Slant Height, l = 22.36 units
2. What is the Slant Height of Cone whose radius is 1 units, and height is 0.5 units?
Answer
Given:
- radius, r = 1 units
- height, h = 0.5 units
The formula to find the Slant Height of a Cone is:
l = \( \sqrt{ r ^2 + h ^2 } \)
Substitute given values in the above formula.
l = \( \sqrt{1^2 +0.5^2 } \)
l = 1.12 units
∴ Slant Height, l = 1.12 units
{
"topic": "cone-slant-height",
"input_types": [
"float",
"float"
],
"input_labels": [
"r",
"h"
],
"input_values": [
"8",
"6"
],
"input_units": [
"units",
"units"
],
"input_descriptions": [
"radius",
"height"
],
"examples": [
{
"r": 20,
"h": 10
},
{
"r": 1,
"h": 0.5
}
],
"type": "Calculate",
"title": "Cone Slant Height",
"category": "Geometry",
"shape": "Cone",
"formula_mathjax": "\\( \\sqrt{ r ^2 + h ^2 } \\)",
"formula_mathjax_sub": "\\( \\sqrt{ r ^2 + h ^2 } \\)",
"formula": "Math.sqrt( r * r + h * h ) ",
"op_label": "Slant Height",
"output_unit": "units",
"description": "The Cone Slant Height calculator calculates the slant height of a cone by taking its radius and height as inputs.",
"explanation": "The volume of a cone is the space enclosed by the curved surface and the circular base of the cone.",
"examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Slant Height when radius, and height are given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Slant Height of Cone whose radius is 20 units, and height is 10 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>radius, r = 20 units<li>height, h = 10 units</ul><p>The formula to find the Slant Height of a Cone is:</p><p class=\"tabspace\">l = \\( \\sqrt{ r ^2 + h ^2 } \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">l = \\( \\sqrt{20^2 +10^2 } \\)</p><p class=\"tabspace\">l = 22.36 units</p><p class=\"tabspace answer\">∴ Slant Height, l = 22.36 units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Slant Height of Cone whose radius is 1 units, and height is 0.5 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>radius, r = 1 units<li>height, h = 0.5 units</ul><p>The formula to find the Slant Height of a Cone is:</p><p class=\"tabspace\">l = \\( \\sqrt{ r ^2 + h ^2 } \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">l = \\( \\sqrt{1^2 +0.5^2 } \\)</p><p class=\"tabspace\">l = 1.12 units</p><p class=\"tabspace answer\">∴ Slant Height, l = 1.12 units</p></div>",
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