How do you calculate the height of a spherical cap with just the base diameter and the radius of the sphere?

Answer 1

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Here's how I would do it:

-- Take the number (base diameter of the cap)/(radius of the sphere)

-- Find the arc-cosine of that number (the angle that has that number for its cosine).

-- Take the number (that angle)/(90)

-- Multiply it by the radius of the sphere.

-- That's the height of the cap above its base.

Good luck !