how to calculate vertical angle of cone
maybe
sin (theta/2 ) = r/h
the vertical angle of a cone is 70 degree and it's slant height is 11cm. calculate the height of the cone
Could anyone please write me the original formula for the surface area if a pyramid? I would love to hear from you guys*☺*
What is the formula for the vertical angle of a cone and please support with derivation and give examples
A cone has a slant height of 8cm and a surface area of 50cm2. Find:(a) That Base radius of the height. (B) The perpendicular height of the cone. (C) The vertical Angles of the cone, to the nearest degree
To calculate the vertical angle of a cone, you'll need to know the radius of the base of the cone and the height of the cone.
The vertical angle, also known as the apex angle, refers to the angle formed at the vertex of the cone. This angle can be found using trigonometry.
First, consider a right triangle formed by the radius, height, and slant height of the cone. The slant height is the distance from the vertex of the cone to a point on the base along the side of the cone.
Using the Pythagorean theorem, we can express the relationship between the radius (r), height (h), and slant height (l):
l^2 = r^2 + h^2
Next, we can determine the sine of the vertical angle (θ) using the opposite side (radius) and the hypotenuse (slant height):
sin(θ) = r / l
Finally, we can calculate the vertical angle by taking the inverse sine (or arcsine) of the sine value:
θ = arcsin(r / l)
By plugging in the values of radius and height, you can calculate the vertical angle of the cone using these steps.