We can obtain even six of them! The equations used by this area of a hemisphere calculator are as follows: The area of a hemisphere formula (for the total area) can then be derived from the above equations. Surface to volume ratio of a hemisphere: A / V = 9 / (2 × r).Total surface area of a hemisphere: A = 3 × π × r².Cap surface area of a hemisphere: Ac = 2 × π × r².Base surface area of a hemisphere: Ab = π × r².Volume of a hemisphere: V = 2/3 × π × r³.First of all, there are some basic hemisphere equations you should know: They can be useful in situations when we don't have the radius given. Now, after we know what the surface areas of a hemisphere are and how to find them, let's try to derive the different area of a hemisphere formulas. If you want to learn more about area unit conversion, check out our area converter! Moreover, you can do every calculation in different units (SI and imperial). This area of a hemisphere calculator allows you to find all three types of surface areas of a specific hemisphere. Thus, according to the circle calc: find A, it can be expressed as:įinally, the total surface area is the sum of those two contributions: The base surface area is a circle with the same radius as a hemisphere. Therefore, the hemisphere cap area equals: You can think about it as two times the cap surface area of a hemisphere. From the area of a sphere calculator, we know that the surface area of a sphere is as below: In each hemisphere, we can name two surface areas: base and cap areas (see the picture above). When we split a sphere in half and take one of the resulting parts, we get a hemisphere.
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