Slant Height of Cone Calculator
'Slant Height of Cone Calculator' is an online tool that helps to calculate the slant height of a cone. The slant height of an object (such as a cone, or pyramid) is the distance along the curved surface, drawn from the edge at the top to a point on the circumference of the circle at the base.
What is Slant Height of Cone Calculator?
Online Slant Height of Cone Calculator helps you to calculate the Slant Height of the Cone in a few seconds.
Slant Height of Cone Calculator
How to Use Slant Height of Cone Calculator?
Please follow the below steps to find the slant height of a cone:
- Step 1: Enter the radius and height of a cone in the given input box.
- Step 2: Click on the "Calculate" button to find the slant height of a cone.
- Step 3: Click on the "Reset" button to clear the fields and find the slant height of a cone for different values.
How to Find the Slant Height of Cone?
A cone is a three-dimensional solid geometric figure having a circle at one end and a pointed edge at the other.
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' = √(r2 + h2)
Solved Examples on Slant Height of Cone Calculator
Example 1:
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' = √(r2 + h2)
= √(62 + 82)
= √36 + 64
= √100 units
= 10 units
Therefore, the slant of the cone is 10 units.
Example 2:
Find the slant height of a cone if the radius of the cone is 7 units and the height of the cone is 9 units?
Solution:
Slant height 'l' = √(r2 + h2)
= √(72 + 92)
= √49 + 81
= √130 units
= 11.40 units
Therefore, the slant of the cone is 11.40 units.
Example 3:
Find the slant height of a cone if the radius of the cone is 3 units and the height of the cone is 6 units?
Solution:
Slant height 'l' = √(r2 + h2)
= √(32 + 62)
= √9 + 36
= √45 units
= 6.70 units
Therefore, the slant of the cone is 6.70 units.
Similarly, you can try the slant height of cone calculator to determine the slant height of the cone if
1) Radius of cone = 10 units, height of the cone = 7 units
2) Radius of cone = 9 units, height of the cone = 13 units