![]() 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. If you need to calculate the volume based on external dimensions, you will need to account for the thickness of the vessel's walls.Home / math / volume calculator Volume Calculator Note that this calculation assumes that the internal dimensions of the pressure vessel are used. This formula can be used to calculate the total volume of a horizontal pressure vessel with 2:1 ellipsoidal heads. Total volume: The total volume of the horizontal pressure vessel (V_total) is the sum of the volumes of the cylindrical section and the two ellipsoidal heads:īy combining the formulas for V_cylinder and V_head, you get:.Since the heads are 2:1 ellipsoidal, the major axis (2a) is equal to the diameter of the cylindrical section (D), and the minor axis (h) is equal to D/2. 2:1 Ellipsoidal head volume: For each ellipsoidal head, the volume (V_head) can be calculated using the following formula:.Where: D = diameter of the cylindrical section L = length of the cylindrical section Cylindrical section volume: The volume of the cylindrical section (V_cylinder) can be calculated using the following formula:.To calculate the total volume of the pressure vessel, you need to find the volume of the cylindrical section and the two ellipsoidal heads, then add them together. Vertical pressure vessel with 2:1 ellipsoidal head typeĪ horizontal pressure vessel with 2:1 ellipsoidal heads has a cylindrical section and two ellipsoidal heads at both ends.Horizontal pressure vessel with 2:1 ellipsoidal head type. ![]()
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