How to use this Cone Total Surface Area Calculator 🤔
Enter ✎ value for radius (r).
Enter ✎ value for slant height (l).
As soon as you enter the required input value(s), the Cone Total Surface Area is calculated immediately, and displaed in the output section (present under input section).
Formula
To calculate the cone total surface area, you can use the following formula.
\(A = \) \( π r l + π r ^{2} \)
where
Calculation
Once you enter the input values in the calculator, the output parameters are calculated.
Examples
The following examples cover how to calcualte the Total Surface Area when radius, and slant height are given.
1. What is the Total Surface Area of Cone whose radius is 20 units, and slant height is 10 units?
Answer
Given:
radius, r = 20 units
slant height, l = 10 units
The formula to find the Total Surface Area of a Cone is:
{
"topic": "cone-total-surface-area",
"input_types": [
"float",
"float"
],
"input_labels": [
"r",
"l"
],
"input_values": [
"8",
"6"
],
"input_units": [
"units",
"units"
],
"input_descriptions": [
"radius",
"slant height"
],
"examples": [
{
"r": 20,
"l": 10
},
{
"r": 1,
"l": 0.5
}
],
"type": "Calculate",
"title": "Cone Total Surface Area",
"category": "Geometry",
"shape": "Cone",
"formula_mathjax": "\\( π r l + π r ^{2} \\)",
"formula_mathjax_sub": "\\( ( 3.1415 \\times r \\times l ) + ( 3.1415 \\times r ^{2} )\\)",
"formula": "Math.PI * r * l + Math.PI * r * r ",
"op_label": "Total Surface Area",
"output_unit": "square units",
"description": "The Cone Total Surface Area calculator calculates the toal surface area of a cone by taking its radius and slant height as inputs.",
"explanation": "The Total Surface Area of a Cone is the sum of curved surface area of cone and the area of the circular base.",
"examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Total Surface Area when radius, and slant height are given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Total Surface Area of Cone whose radius is 20 units, and slant height is 10 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>radius, r = 20 units<li>slant height, l = 10 units</ul><p>The formula to find the Total Surface Area of a Cone is:</p><p class=\"tabspace\">A = \\( π r l + π r ^{2} \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( ( 3.1415 \\times20\\times10) + ( 3.1415 \\times20 ^{2} )\\)</p><p class=\"tabspace\">A = 1884.96 square units</p><p class=\"tabspace answer\">∴ Total Surface Area, A = 1884.96 square units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Total Surface Area of Cone whose radius is 1 units, and slant height is 0.5 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>radius, r = 1 units<li>slant height, l = 0.5 units</ul><p>The formula to find the Total Surface Area of a Cone is:</p><p class=\"tabspace\">A = \\( π r l + π r ^{2} \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( ( 3.1415 \\times1\\times0.5) + ( 3.1415 \\times1 ^{2} )\\)</p><p class=\"tabspace\">A = 4.71 square units</p><p class=\"tabspace answer\">∴ Total Surface Area, A = 4.71 square units</p></div>",
"schema_data": "\n <script type=\"application/ld+json\">\n {\n \"@context\": \"https://schema.org\",\n \"@type\": \"Article\",\n \"author\": {\n \"@type\": \"Person\",\n \"name\": \"Mallikarjuna M\",\n \"honorificSuffix\": \"B.Tech. (Electronics & Communication)\",\n \"url\": \"https://www.linkedin.com/in/mallikarjuna-mallisetty-7330314a/\"\n },\n \n \"dateModified\": \"2024-09-05T00:23:14.014Z\",\n \"datePublished\": \"2024-07-21T07:20:32.526Z\",\n \"description\": \"The Cone Total Surface Area calculator calculates the toal surface area of a cone by taking its radius and slant height as inputs.\",\n \"headline\": \"Cone Total Surface Area Calculator\",\n \"mainEntityOfPage\": {\n \"@id\": \"https://convertonline.org\",\n \"@type\": \"WebPage\"\n },\n \"publisher\": {\n \"@type\": \"Organization\",\n \"name\": \"ConvertOnline.org\",\n \"logo\": {\n \"@type\": \"ImageObject\",\n \"url\": \"https://convertonline.org/images/icon.png\",\n \"width\": \"512px\",\n \"height\": \"512px\"\n }\n }\n }\n </script>\n "
}
ConvertOnline