Mathematically, a cone is formed similarly to a circle, by a set of line segments connected to a common center point, except that the center point is not included in the plane that contains the circle (or some other base). Volume = 4/3 × π × 0.15 3 = 0.141 ft 3 ConeĪ cone is a three-dimensional shape that tapers smoothly from its typically circular base to a common point called the apex (or vertex). The volume of vinegar necessary can be calculated using the equation provided below: The equation for calculating the volume of a sphere is provided below: volume =ĮX: Claire wants to fill a perfectly spherical water balloon with radius 0.15 ft with vinegar to use in the water balloon fight against her arch-nemesis Hilda this coming weekend. As with a circle, the longest line segment that connects two points of a sphere through its center is called the diameter, d. Regardless of this distinction, a ball and a sphere share the same radius, center, and diameter, and the calculation of their volumes is the same. Within mathematics, there is a distinction between a ball and a sphere, where a ball comprises the space bounded by a sphere. ![]() Likely the most commonly known spherical object is a perfectly round ball. It is a perfectly round geometrical object that, mathematically, is the set of points that are equidistant from a given point at its center, where the distance between the center and any point on the sphere is the radius r. 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. You can convert a tanks storage capacity between numerous quantities including – Litres, m3, Gallons (UK), Gallons (US), Barrels and ft3.Home / math / volume calculator Volume Calculator Not only that, but if you already have an existing measurement unit you wish to convert, our tank volume converter will allow you to do this quickly and easily. The results of your inputs will be displayed in a range of measurement units including – Litres, m 3, Gallons (UK), Gallons (US), Barrels and ft 3. ![]() Optionally with all tank types, you can also include the Liquid Height, which will then allow you to work out the spare capacity available in the tank. If you have Rectangular Tanks, you will need to include the Length, Width and Height of the tank. You will need to add the Diameter and Width for both Horizontal Cylindrical Tanks, Vertical Cylindrical Tanks. ![]() Next you need to select the measurement unit that your tank measurements are in, in order to ensure your results are accurate. Once you know your tanks dimensions, you simply need to select the type of storage tank you are calculating the volume for by selecting one of the tank type options – Horizontal Cylindrical Tanks, Vertical Cylindrical Tanks and Rectangular Tanks.
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