Surface Area of Right Cone Calculator
The cone is one of the simplest three-dimensional figures in Geometry. It is pretty simple to solve this figure and find its area and volume. But it also has some particular types that may be hard to solve especially if you are unable to understand them. One of those common types is Right Cone.
Finding its area might be harder if you are not using this surface area of the right cone calculator. This maths calculator has a simple interface that you can understand easily to use for solving questions. It enables you to complete your assignments within a short time and with 1005 accuracy.
Table of Contents
What is the surface area of the right cone?
A right cone is a specific type of cone in which the center of the circular base of the cone and its vertex lie on the same line. It means that if the axis is drawn from the vertex, it will meet the center of the circular part of the cone. The surface area of a right cone is the total area covered by it.
Undoubtedly, it is a three-dimensional figure but the area involves only two dimensions. It is the region surrounded by the circular base and the lateral (curved) surface of the cone.
How to find the surface area of the right cone?
To understand the method to find the surface area of the right cone, you should need to understand the terms related to it first.
- Vertex: It is the point where both lateral surfaces of the cone meet.
- Base: A cone has a circular base that surrounds it completely and both lateral surfaces are connected with it.
- Axis: The straight perpendicular line drawn from the vertex to the center of the cone is called its axis.
Now, you are aware of the basic details of the right cone. Let us show you the formula that you can use to find the surface area of the right cone.
The surface area of the right cone = Area of circular Base + Curved Surface Area
= š¯¯ær2 + š¯¯ærl
We can also write it as
= š¯¯ær (r + l) Sq. units
In the formula, “l” represents the curved side’s length while “r” represents the radius of the circular side.
Example 1:
Find the surface area of the right cone if its radius is 6m and lateral length is 7m.
Solution:
To find the answer, we only have to put the values in the above formula.,
Surface area of the right cone =3.14(6) (6 + 7) m2
= 245.044 m2
How to use the surface area of the right cone calculator?
Using this online tool of Calculator’s Bag is pretty simple because of its user-friendly interface. Here are the steps you have to follow to use it.
- Input the radius measurement in the first input box
- Input the value of slant height in the second input box
- This calculator will automatically perform the calculation and show you the answer for surface area.
FAQ | Surface Area of a Right Cone
What is the surface area of the right cone?
The surface area of the right cone is the total area covered by its circular base and lateral side.
What is the volume and surface area of a cone?
The volume is the total space covered by the cone including all three dimensions while the surface area is the total area covered by its plane surfaces.
What is the right cone?
A specific type of cone in which the center of the circular base and its vertex lies on the same line.
What is the difference between a right cone and other types of geometric shapes?
Every geometrical shape has a specific shape and dimension. A cone is a specific three-dimensional figure in geometry that has a circular base and lateral sides.
What number do you need to determine the surface area of a right cone?
We only need the measurement of the radius and lateral side to find the surface area of the right cone.
How do you prove the surface area of a right cone?
We can prove the surface area of a right cone by adding the surface area of the lateral side and circular base.
