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How do you find the radius of a cone if you have the height and slant height?
Answer:
A cone is a solid composed of a circle and its interior (base), a given point not on the plane of the circle (vertex) and all the segments from the point to the circle.
A right cone is a cone where the vertex is directly above the centre of the base. If you are talking about a right cone then the radius of the base can be calculated using Pythagorus, a2 + b2 = c2, whereby a = radius, b = height (altitude) and c = slant height.
Therefore a2 = c2 - b2 or (radius)2 = (slant height)2 - (altitude)2
A right cone is a cone where the vertex is directly above the centre of the base. If you are talking about a right cone then the radius of the base can be calculated using Pythagorus, a2 + b2 = c2, whereby a = radius, b = height (altitude) and c = slant height.
Therefore a2 = c2 - b2 or (radius)2 = (slant height)2 - (altitude)2
First answer by Guyfawkes.
Last edit by Guyfawkes.
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