Subject: Surface Area
To find the surface area you would have to know the exact shape of the lens. If you knew the height of the dome you might make an approximation by assuming that the lens is a piece of a sphere, but I have no idea how reasonable such an approximation would be.
Thanks for your response.
So what you are saying is we cannot calculate the surface area without knowing the height of the lens dome?
If we do approximate its height, what formula would we use for our calculation of surface area?Evie
Suppose that you have a sphere of radius R with center at the origin in 3-space, as in the diagram. Imagine that you slice through the sphere with a plane, parallel to the XY-plane, to cut off a cap with a circular base (orange in the diagram). This cap is the lens.
The equation of the sphere is
The problem with this method is that the lens may not be a piece of a sphere.Cheers,