Surface formula of elliptical cone

Is it possible to write elliptical cone formula according to degree V?View attachment 34142
By "degree" do you mean "angle"?

But you show v in two incompatible places; please clarify how you are defining it.

The surface area formula (in terms of a, b, and h) requires an elliptic integral:


However you are defining v, you will need to determine h in terms of a, b, and v. Have you tried that?
 
View attachment 34143
Can you derive the formula for surface area of a "circular" cone?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem
Elliptical cone formula is
z2/h2=x2/a2+y2/b2z^2/h^2=x^2/a^2+y^2/b^2I want to write it with V parameter.
 
Elliptical cone formula is
z2/h2=x2/a2+y2/b2z^2/h^2=x^2/a^2+y^2/b^2I want to write it with V parameter.
Ah! When you said "surface formula", you didn't mean surface area, as I assumed following SK, but the equation of the surface.

But you haven't clarified what V is. Is it the angle from the base to the vertex at a particular point? The angle will vary.

Once you specify that, if it is to be measured at a vertex or co-vertex, then you just need basic trigonometry to find h.
 
Elliptical cone formula is
z2/h2=x2/a2+y2/b2z^2/h^2=x^2/a^2+y^2/b^2I want to write it with V parameter.
As previous posters pointed out, the answer depends on the place where you measure your angle. Once you decide on that you can express hh in terms of VV and aa or bb, or both.
 
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