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.
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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.
The longest chord in a circle is its diameter and halve of this is its radius.
you can't. you must be given the length, width and height as the formula is: lhw (length x height x width).