Table of Contents
How do you find the radius and slant height of a cone?
By rearranging the terms in the Pythagorean theorem, we can solve for other lengths:
- The radius r can be found using the formula. radius r. = √ s. − h. where s is the slant height h is the altitude.
- The altitude h can be found using the formula. altitude h. = √ s. − r. where s is the slant height r is the base radius.
How do you find the slant height of a cone with the volume?
Slant height of a cone: s = √(r2 + h2)
How do you find the height and radius of a cone with the volume?
FAQs on Cone Height Formula The height of the cone using cone height formulas are, h = 3V/πr 2 and h = √l2 – r2, where V = Volume of the cone, r = Radius of the cone, and l = Slant height of the cone.
How do you find the radius of a cone with only the volume?
You can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60.
How do you find the volume of a cone formula?
The formula for the volume of a cone is V=1/3hπr².
What is the slant height of 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.
Do you use slant height for volume of cone?
When you want to compute the volume of a cone, you need only two things: its height and the radius of its base. Even if you are given its slant height instead of its vertical height, you can still find the volume; you just need to include an extra step.
Where is the radius of a cone?
A cone is a solid composed of a circle and its interior ( base ), a given point not on the plane of the circle ( vertex ) and all the segments from the point to the circle. The radius of the cone is the radius of the base. The altitude of the cone is the perpendicular segment from the vertex to the plane of the base.
How to calculate the slant height of a cone?
Most often used cone formulas when radius (r) and height (h) are known. ■ Slant height of a cone (s) = √(r 2 + h 2) ■ Base surface area of a cone (BA) = πr 2.
How to calculate the volume of a circular cone?
Circular Cone Formulas in terms of radius r and height h: Volume of a cone: V = (1/3) π r 2 h; Slant height of a cone: s = √(r 2 + h 2) Lateral surface area of a cone: L = π rs = π r√(r 2 + h 2)
How do you calculate the volume of a frustum?
You can calculate frustum volume by subtracting smaller cone volume (the cut one) from the bigger base one, or use the formula: volume = (1/3) * π * depth * (r² + r * R + R²), where r is a radius of the base of a cone, and R of top surface radius.
Why are the units in place in the cone calculator?
The units are in place to give an indication of the order of the results such as ft, ft 2 or ft 3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with s in mm, V in mm 3, L in mm 2, B in mm 2 and A in mm 2 .