from a handpicked tutor in LIVE 1to1 classes
Cone Calculator
A cone is defined as a threedimensional solid geometric figure having a circle at one end and a pointed edge at the other.
What is Cone Calculator?
'Cuemath's Cone Calculator' is an online tool that helps to calculate the surface area, volume, and slant height of the cone. Cuemath's Cone Calculator helps you to calculate the surface area, volume, and slant height of the cone within a few seconds.
How to Use Cone Calculator?
Please follow the steps below on how to use the calculator:
 Step 1: Choose a dropdown list to find the value of the surface area, volume, and slant height of the cone
 Step 2: Enter the radius and height in the given input boxes.
 Step 3: Click on the "Calculate" button to find the value of the surface area, volume, and slant height of the cone
 Step 4: Click on the "Reset" button to clear the fields and enter the new values.
How to Find Surface Area, Volume and Slant Height of Cone ?
The surface area of a cone is the area occupied by the boundary of a cone. It is measured in square units. The surface area of a cone is given by the sum of the area of all the curved surfaces and circular bases. The area of the curved surface is equal to π r l(where l is equal to √ (h^{2} + r^{2}) and the area of the circular base is π r^{2}.
The formula to calculate the surface area of a cone is given by
Surface area of the cone = π r(r +(√ (h^{2} + r^{2}) )
Where 'r' is the radius of the cone, 'h' is the height of the cone
The volume of a cone is defined as the amount of space or capacity that a cone occupies. The formula for calculating the volume of a cone is given as onethird of the product of the area of the circular base and the height of the cone. This can be written as:
The volume of the cone = (1/3) πr^{2}h
The slant height of the cone: From the figure, 'r' is the radius of the cone, 'h' is the height of the cone, and 'l' is the slant height of the cone. Using Pythagoras theorem,
Slant height 'l' = √(r^{2} + h^{2})
Solved Examples on Cone Calculator

Example1:
Find the surface area of a cone with height h = 10 units and radius r = 20 units
Solution:
Given: Height = 10 units and radius = 20 units
Surface area of the right cone = π r(r +(√ (h^{2} + r^{2}) )
= π × 20 (20 + √(10^{2} + 20^{2}))
= 2660.25 square units

Example2:
Find the volume of a cone whose height = 3 units and radius = 7 units.
Solution:
When the height and radius are given, we can use the formula to calculate the volume of a cone.
Volume = (1/3)πr²h
=(1/3)π × 7² × 3
=153.86 cubic units

Example3:
Find the slant height of a cone if the radius of the cone is 6 units and the height of the cone is 8 units?
Solution:
slant height 'l' = √(r^{2} + h^{2})
= √(6^{2} + 8^{2})
= √36 + 64
= √100 units
= 10 units
Similarly, you can use the calculator to find the surface area, volume, and slant height of the cone for the following:
 Radius = 15 units and height = 16 units
 Radius = 6 units and height = 8 units
visual curriculum