How do you find the diameter of the base of a cone?
The diameter d = 2 times the radius r, d = 2*r. In the diagrams, h is the height of the cylinder and the cone, and r is the radius of their bases, which are equal.
How do you find the diameter of a cone with height and angle?
For example, if you know the height h and the angle X, you can use the trig function TAN (tangent) to find the radius: r = h tan(X). And of course since the diameter is just twice the radius, diameter = 2 h tan(X).
How do you find the base radius of a cone with slant height?
If you are given the slant height
- 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.
What is a base diameter of a cone?
The formula for the base area of a cone is A = πr2, where r is the radius of the base of the cone. The formula for the base area of the cone can also be shown in terms of the diameter of a cone as A = π(D/2)2 = (πD2)/4, where D is the diameter of the base.
How do you find the radius of a cone with slant height and angle?
So if you knew the height h and the volume V and wanted the area, you would re-arrange this algebraically into: A = 3V / h. If you know the slant length s and the angle X, you can use the trig function SIN (sine) to find the radius r: r = s sin(X).
How to calculate the geometry of a cone?
Calculations at a right circular cone. The slant height is the distance between tip and base edge, the lateral surface is the surface without the base. The opening angle is the angle at the tip, the base angle is the angle between slant line and base. Enter radius and height and choose the number of decimal places.
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.
Is the tip of a cone centered on the base?
It depends on what you know about the cone. Here is a cone with a few things identified on it. I’m assuming you have what we call a right circular single-napped cone, which is a cone that has a circle for a base and the tip of it is centered over the circle.
What do you call the lateral side of a cone?
What you call the lateral side length of a cone is often called its slant height. If you slice along the black line in my diagram and then roll the cone flat you obtain a sector of a circle.