![]() SphereĪ sphere is the three-dimensional counterpart of a two-dimensional circle. This calculator computes volumes for some of the most common simple shapes. Alternatively, if the density of a substance is known, and is uniform, the volume can be calculated using its weight. Beyond this, shapes that cannot be described by known equations can be estimated using mathematical methods, such as the finite element method. The volumes of other even more complicated shapes can be calculated using integral calculus if a formula exists for the shape's boundary. In some cases, more complicated shapes can be broken down into simpler aggregate shapes, and the sum of their volumes is used to determine total volume. Volumes of many shapes can be calculated by using well-defined formulas. By convention, the volume of a container is typically its capacity, and how much fluid it is able to hold, rather than the amount of space that the actual container displaces. ![]() The SI unit for volume is the cubic meter, or m 3. ![]() Volume is the quantification of the three-dimensional space a substance occupies. Related Surface Area Calculator | Area Calculator Tube Volume Calculator Outer Diameter (d1) Square Pyramid Volume Calculator Base Edge (a) Base Radius (r)Ĭonical Frustum Volume Calculator Top Radius (r) Please provide any two values below to calculate. Rectangular Tank Volume Calculator Length (l)Ĭapsule Volume Calculator Base Radius (r) Sphere Volume Calculator Radius (r)Ĭylinder Volume Calculator Base Radius (r) Please fill in the corresponding fields and click the "Calculate" button. The following is a list of volume calculators for several common shapes. That's why they are widely used in this field, e.g., to model spherical capacitors or atoms of a gas.Home / math / volume calculator Volume Calculator It is worth mentioning that spheres can often simplify various problems in physics. We didn't write about finding the surface area of the sphere first because it is much harder to do it (compared to finding the radius). If you want to see how objects behave in liquids, try our buoyancy calculator now! Put a sphere into this cylinder, then bring out the sphere and measure the volume of displaced water (you can use our volume of a cylinder calculator to do so). Prepare a graduated cylindrical container filled with water. The distance between those plates equals the diameter of a sphere. You can use two parallel planes and put the sphere between them. However, how can you find this center in the real, physical sphere, especially when it's closed? Let's look on a two of our suggestions: ![]() You only have to find the center of the sphere and measure the distance to any point on its surface. Surface to volume ratio of a sphere: A / V = 3 / r A / V = 3 / r A / V = 3/ r.Volume of a sphere: V = 4 / 3 × π × r 3 V = 4/3 \times π \times r^3 V = 4/3 × π × r 3 and.Surface area of a sphere: A = 4 × π × r 2 A = 4 \times π \times r^2 A = 4 × π × r 2.Diameter of a sphere: d = 2 × r d = 2\times r d = 2 × r.You need to make some algebraic transformations using the following basic equations: Check out our length conversion to learn how to switch between different units of length!ĭerivation of the above radius of sphere formulas is, in fact, straightforward. Moreover, you can freely change the units (SI and imperial units). Our radius of a sphere calculator uses all of the above equations simultaneously, so you need to enter just one chosen quantity. Given surface to volume ratio: r = 3 / ( A / V ) r = 3 / (A/V) r = 3/ ( A / V ).Given diameter: r = d / 2 r = d / 2 r = d /2,.Below, we have provided an exhaustive set of the radius of a sphere formula: ![]() How to find the radius of a sphere? Actually, there are many varied answers to that question because it depends on what we know about a specific sphere. If you want to learn more about that kind of object, check out our area of a hemisphere calculator and volume of a hemisphere calculator. The description of a hemisphere is a little bit more complicated compared to the full sphere, but it is possible. You just need to divide a sphere into two equal parts. There is an object called hemisphere that you can construct from any sphere you want. For more general information about spheres, check out our sphere calc! This radius of a sphere calculator, as the name suggests, contains information dedicated mostly to the radius of a sphere. Also, here we can find the analogy to the circle, which encloses the largest area with a given perimeter. A / V A / V A / V – Surface to volume ratio of a sphere.Ī sphere is a special object because it has the lowest surface-to-volume ratio among all other closed surfaces with a given volume. ![]()
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