The amount of three-dimensional space occupied by an object or substance, typically measured in cubic units (e.g., m³, cm³, in³).
A perfectly round three-dimensional shape where every point on the surface is equidistant from the center. Volume formula: V = (4/3)πr³.
A three-dimensional shape that tapers smoothly from a flat base to a point called the apex. Volume formula: V = (1/3)πr²h.
A three-dimensional shape with six square faces, all of equal size. Volume formula: V = a³, where 'a' is the length of an edge.
A three-dimensional shape with two parallel circular bases connected by a curved surface. Volume formula: V = πr²h.
A box-shaped container with six rectangular faces. Volume formula: V = length × width × height.
A three-dimensional shape consisting of a cylinder with hemispherical ends. Volume formula: V = πr²h + (4/3)πr³.
A portion of a sphere cut off by a plane. Volume formula: V = (1/3)πh²(3R - h), where 'R' is the sphere's radius and 'h' is the cap's height.
A portion of a cone between two parallel planes. Volume formula: V = (1/3)πh(r₁² + r₂² + r₁r₂), where 'r₁' and 'r₂' are the radii of the two bases.
A three-dimensional shape resembling a stretched or compressed sphere. Volume formula: V = (4/3)πabc, where 'a', 'b', and 'c' are the semi-axes.
A three-dimensional shape with a square base and four triangular faces meeting at an apex. Volume formula: V = (1/3)a²h, where 'a' is the base edge length and 'h' is the height.
A hollow cylinder. Volume formula: V = πh(R² - r²), where 'R' is the outer radius and 'r' is the inner radius.
The distance from the center of a circle or sphere to its edge. It is half the diameter.
The distance across a circle or sphere through its center. It is twice the radius.
The vertical distance from the base to the top of a shape.
The bottom face of a three-dimensional shape, often used as a reference for calculations.
The topmost point of a shape, such as the tip of a cone or pyramid.
A mathematical constant representing the ratio of a circle's circumference to its diameter, approximately equal to 3.1416.
Units used to measure volume, such as cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³).
The maximum amount that a container can hold, often measured in liters or gallons.
The mass per unit volume of a substance, often measured in kg/m³ or g/cm³.
The total area of the outer surfaces of a three-dimensional shape.
A shape that does not have a standard geometric form, often requiring advanced methods to calculate its volume.
A numerical technique used to estimate the volume of complex or irregular shapes.
A branch of mathematics used to calculate volumes of shapes with varying cross-sections.