{"id":18023,"date":"2022-09-08T17:30:16","date_gmt":"2022-09-08T12:00:16","guid":{"rendered":"https:\/\/btechgeeks.com\/?p=18023"},"modified":"2022-09-08T17:35:17","modified_gmt":"2022-09-08T12:05:17","slug":"python-program-to-find-volume-and-surface-area-of-a-cone","status":"publish","type":"post","link":"https:\/\/btechgeeks.com\/python-program-to-find-volume-and-surface-area-of-a-cone\/","title":{"rendered":"Calculate the slant height for the given cone &#8211; Python Program to Find Volume and Surface Area of a Cone"},"content":{"rendered":"<p><strong>Calculate the slant height for the given cone: <\/strong>In the previous article, we have discussed <a href=\"https:\/\/btechgeeks.com\/python-program-to-calculate-sum-of-series-1%c2%b32%c2%b33%c2%b3-n%c2%b3\/\">Python Program to Calculate Sum of Series 1\u00b3+2\u00b3+3\u00b3+\u2026.+n\u00b3<\/a><br \/>\n<strong>The surface area of a cone :\u00a0<\/strong><\/p>\n<p>Formula to calculate its surface area:<br \/>\nSurface Area = Area of a Cone + Area of a Circle<br \/>\ni.e. <strong>Surface Area of cone = \u03c0rl + \u03c0r\u00b2<\/strong><br \/>\nIn which\u00a0 &#8216;r&#8217; denotes <strong>radius<\/strong> and<\/p>\n<p>&#8216;l&#8217; denotes <strong>slant<\/strong>\u00a0(Length of an edge from the top of the cone to edge of a cone)<\/p>\n<p>If we know the<strong> radius and height<\/strong> of a cone, we can use the following formula to calculate its surface area:<br \/>\nSurface Area = \u03c0r\u00b2 +\u03c0r \u221ah\u00b2 + r\u00b2<br \/>\nIt can also be written as:<br \/>\n<strong>Surface Area of a cone = \u00a0\u03c0r (r+\u221ah\u00b2 + r\u00b2)<\/strong><\/p>\n<p>Because the radius, height, and slant combine to form a right-angled triangle. So, using Pythagoras&#8217; theorem:<\/p>\n<p>l\u00b2 = h\u00b2 + r\u00b2<br \/>\nl = \u221ah\u00b2 + r\u00b2<\/p>\n<p><strong>The volume of a cone :<\/strong><\/p>\n<p>Volume refers to the amount of space inside the Cone. If we know the radius and height of the cone, we can use the following formula to calculate the volume:<br \/>\n<strong>The volume of a cone= 1\/3 \u03c0r\u00b2h<\/strong>\u00a0 (where h = height of a cone)<\/p>\n<p><strong>A Cone&#8217;s Lateral Surface Area = \u03c0rl<\/strong><\/p>\n<p>Given the radius and height of a cone, the task is to find the surface area, volume, and lateral surface for a given cone.<\/p>\n<ul>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-for-volume-and-surface-area-of-frustum-of-cone\/\">Python Program for Volume and Surface Area of Frustum of Cone<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-calculate-volume-and-surface-area-of-hemisphere\/\">Python Program to Calculate Volume and Surface Area of Hemisphere<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/c-program-to-calculate-volume-and-total-surface-area-of-cone\/\">C Program to Calculate Volume and Total Surface Area of Cone<\/a><\/li>\n<\/ul>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example 1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given radius = 6.5\r\nGiven height = 10<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given cone's slant height = 11.927\r\nThe given surface Area of a cone with given radius,height[ 6.5 10 ]= 376.283\r\nThe given volume of a cone with given radius,height[ 6.5 10 ]= 442.441\r\nThe given lateral surface Area of a cone with given radius,height[ 6.5 10 ]= 243.551<\/pre>\n<p><strong>Example 2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given radius =  4\r\nGiven height = 8<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given cone's slant height = 8.944\r\nThe given surface Area of a cone with given radius,height[ 4 8 ]= 162.663\r\nThe given volume of a cone with given radius,height[ 4 8 ]= 134.041\r\nThe given lateral surface Area of a cone with given radius,height[ 4 8 ]= 112.397<\/pre>\n<h2>Program to Find Volume and Surface Area of a Cone<\/h2>\n<p>Below are the ways to find the surface area, volume, and lateral surface for a given cone.<\/p>\n<ul>\n<li><a href=\"#Using_Mathematical_Formula_(Static_Input)\">Using Mathematical Formula (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Mathematical_Formula_(User_Input)\">Using Mathematical Formula (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_Mathematical_Formula_(Static_Input)\">Method #1: Using Mathematical Formula (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import math module using the import keyword.<\/li>\n<li>Give the radius of a cone as static input and store it in a variable.<\/li>\n<li>Give the height of a cone as static input and store it in another variable.<\/li>\n<li>Calculate the Slant height of a given cone using the above given mathematical formula and math.sqrt() function and store it in another variable.<\/li>\n<li>Calculate the surface area of a given cone using the above given mathematical formula and math.pi function<\/li>\n<li>Store it in another variable.<\/li>\n<li>Calculate the volume of a given cone using the above given mathematical formula and math.pi function<\/li>\n<li>Store it in another variable.<\/li>\n<li>Calculate the lateral surface area of a given cone using the above given mathematical formula and math.pi function.<\/li>\n<li>Store it in another variable.<\/li>\n<li>Print the slant height of a given cone.<\/li>\n<li>Print the surface area of a given cone.<\/li>\n<li>Print the volume of a given cone.<\/li>\n<li>Print the lateral surface area of a given cone.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import math module using the import keyword.\r\nimport math\r\n# Give the radius of a cone as static input and store it in a variable.\r\ngvn_rad = 6.5\r\n# Give the height of a cone as static input and store it in another variable.\r\ngvn_heigt = 10\r\n# Calculate the Slant height of a given cone using the above given mathematical formula\r\n# and math.sqrt() function and store it in another variable.\r\nslant_l = math.sqrt(gvn_rad * gvn_rad + gvn_heigt * gvn_heigt)\r\n# Calculate the surface area of a given cone using the above given mathematical formula and math.pi function\r\n# Store it in another variable.\r\nsurf_area = math.pi * gvn_rad * (gvn_rad + slant_l)\r\n# Calculate the volume of a given cone using the above given mathematical formula and\r\n# math.pi function\r\n# Store it in another variable.\r\nVol = (1.0\/3) * math.pi * gvn_rad * gvn_rad * gvn_heigt\r\n# Calculate the lateral surface area of a given cone using the above given mathematical\r\n# formula and math.pi function.\r\n# Store it in another variable.\r\nLaterl_surfcarea = math.pi * gvn_rad * slant_l\r\n# Print the slant height of a given cone.\r\nprint(\"The given cone's slant height = %.3f\" % slant_l)\r\n# Print the surface area of a given cone.\r\nprint(\r\n    \"The given surface Area of a cone with given radius,height[\", gvn_rad, gvn_heigt, \"]= %.3f\" % surf_area)\r\n# Print the volume of a given cone.\r\nprint(\r\n    \"The given volume of a cone with given radius,height[\", gvn_rad, gvn_heigt, \"]= %.3f\" % Vol)\r\n# Print the lateral surface area of a given cone.\r\nprint(\r\n    \"The given lateral surface Area of a cone with given radius,height[\", gvn_rad, gvn_heigt, \"]= %.3f \" % Laterl_surfcarea)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The given cone's slant height = 11.927\r\nThe given surface Area of a cone with given radius,height[ 6.5 10 ]= 376.283\r\nThe given volume of a cone with given radius,height[ 6.5 10 ]= 442.441\r\nThe given lateral surface Area of a cone with given radius,height[ 6.5 10 ]= 243.551<\/pre>\n<h3 id=\"Using_Mathematical_Formula_(User_Input)\">Method #2: Using Mathematical Formula (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import math module using the import keyword.<\/li>\n<li>Give the radius of a cone as user input using the float(input()) function and store it in a variable.<\/li>\n<li>Give the height of a cone as user input using the float(input()) function and store it in another variable.<\/li>\n<li>Calculate the Slant height of a given cone using the above given mathematical formula and math.sqrt() function and store it in another variable.<\/li>\n<li>Calculate the surface area of a given cone using the above given mathematical formula and math.pi function<\/li>\n<li>Store it in another variable.<\/li>\n<li>Calculate the volume of a given cone using the above given mathematical formula and math.pi function<\/li>\n<li>Store it in another variable.<\/li>\n<li>Calculate the lateral surface area of a given cone using the above given mathematical formula and math.pi function.<\/li>\n<li>Store it in another variable.<\/li>\n<li>Print the slant height of a given cone.<\/li>\n<li>Print the surface area of a given cone.<\/li>\n<li>Print the volume of a given cone.<\/li>\n<li>Print the lateral surface area of a given cone.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import math module using the import keyword.\r\nimport math\r\n# Give the radius of a cone user input using the float(input()) function and store it in a variable.\r\ngvn_rad = float(input(\"Enter some random number = \"))\r\n# Give the height of a cone user input using the float(input()) function and store it in another variable.\r\ngvn_heigt = float(input(\"Enter some random number = \"))\r\n# Calculate the Slant height of a given cone using the above given mathematical formula\r\n# and math.sqrt() function and store it in another variable.\r\nslant_l = math.sqrt(gvn_rad * gvn_rad + gvn_heigt * gvn_heigt)\r\n# Calculate the surface area of a given cone using the above given mathematical formula and math.pi function\r\n# Store it in another variable.\r\nsurf_area = math.pi * gvn_rad * (gvn_rad + slant_l)\r\n# Calculate the volume of a given cone using the above given mathematical formula and\r\n# math.pi function\r\n# Store it in another variable.\r\nVol = (1.0\/3) * math.pi * gvn_rad * gvn_rad * gvn_heigt\r\n# Calculate the lateral surface area of a given cone using the above given mathematical\r\n# formula and math.pi function.\r\n# Store it in another variable.\r\nLaterl_surfcarea = math.pi * gvn_rad * slant_l\r\n# Print the slant height of a given cone.\r\nprint(\"The given cone's slant height = %.3f\" % slant_l)\r\n# Print the surface area of a given cone.\r\nprint(\r\n    \"The given surface Area of a cone with given radius,height[\", gvn_rad, gvn_heigt, \"]= %.3f\" % surf_area)\r\n# Print the volume of a given cone.\r\nprint(\r\n    \"The given volume of a cone with given radius,height[\", gvn_rad, gvn_heigt, \"]= %.3f\" % Vol)\r\n# Print the lateral surface area of a given cone.\r\nprint(\r\n    \"The given lateral surface Area of a cone with given radius,height[\", gvn_rad, gvn_heigt, \"]= %.3f \" % Laterl_surfcarea)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 4.5\r\nEnter some random number = 2\r\nThe given cone's slant height = 4.924\r\nThe given surface Area of a cone with given radius,height[ 4.5 2.0 ]= 133.235\r\nThe given volume of a cone with given radius,height[ 4.5 2.0 ]= 42.412\r\nThe given lateral surface Area of a cone with given radius,height[ 4.5 2.0 ]= 69.617<\/pre>\n<p>Explore more instances related to python concepts from\u00a0<a href=\"https:\/\/btechgeeks.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a>\u00a0Guide and get promoted from beginner to professional programmer level in Python Programming Language.<\/p>\n<ul>\n<li><a 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