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.

For example, if you are starting with mm and you know r and h in mm, your calculations will result with V in mm 3 and S in mm 2.īelow are the standard formulas for surface area.Home / math / volume calculator Volume Calculator The units are in place to give an indication of the order of the results such as ft, ft 2 or ft 3. Units: Note that units are shown for convenience but do not affect the calculations. Online calculator to calculate the surface area of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere, spherical cap, and triangular prism Triangular Prism Calculator Calculator Use

Volume of a triangular prism calculator