The answer will depend on the orientation of the shape. If the arc length is less than pi*radius, and the shape is like the silhouette of an ice cream cone, then the height equals the radius.
If the arc length is greater than pi*radius and the shape is with the gap on the side (like a Pacman), then the height is 2*radius.
Between these two are more complicated answers. But I do not wish to spend time on them without knowing what exactly is wanted.
The radius of a sphere is 1/2 of its height.
you need to know the formula the arc length is equal to the radius times the angle made by the length of arc s = r(theta) s=arc length r=radius theta=angle
That will depend on its height which has not been given but the volume of a cylinder is pi*radius squared*height.
you can't. you must be given the length, width and height as the formula is: lhw (length x height x width).
The longest chord in a circle is its diameter and halve of this is its radius.
The radius of a sphere is 1/2 of its height.
The radius of a cylinder given only the height could be anything you like.
radius of curvature = 2Focal length
If you are given a chord length of a circle, unless you are given more information about the chord, you can not determine what the radius of the circle will be. This is because the chord length in a circle can vary from a length of (essentially) 0, up to a length of double the radius (the diameter). The best you can say about the radius if given the chord length, is that the length of the radius is at least as long has half half the chord length.
The radius IS given, since height of hemisphere = radius of hemisphere!
you need to know the formula the arc length is equal to the radius times the angle made by the length of arc s = r(theta) s=arc length r=radius theta=angle
That will depend on its height which has not been given but the volume of a cylinder is pi*radius squared*height.
Height = Area divided by Length
Given what??? I'd probably measure it
(arc length / (radius * 2 * pi)) * 360 = angle
You cannot
you can't. you must be given the length, width and height as the formula is: lhw (length x height x width).