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Sphere Volume Calculator
Cone Volume Calculator
Cube Volume Calculator
Cylinder Volume Calculator
Capsule Volume Calculator
Square Pyramid Volume Calculator
Rectangular Tank Volume Calculator
Conical Frustum Volume Calculator
A volume calculator figures out how much space is inside a three-dimensional object, like a box or a container. It's like a virtual measuring tool that tells you how much stuff can fit into that space. To use it, you typically need to know the shape of the object, like whether it's a cube, a cylinder, or something else. Then, you enter the measurements of that shape, like its Length, Width, and Height. The volume calculator then does the math for you and gives you the answer, usually in units like cubic inches, cubic feet, or litres. This is handy when you're trying to pack things, ship items, or want to know how much space you have available. It's a helpful tool for making sure you use your storage space effectively.
The volume of the sphere:
A sphere is a perfectly round 3D shape, like a ball. To find the volume of a sphere manually, you can use a simple formula. The formula is:
Volume = (4/3) × π × r³
Where "Volume" is the amount of space inside the sphere. "π" (pi) is a unique number, roughly 3.14159. You can usually use 3.14 as an approximation. "r" is the radius of the sphere, which is the distance from the centre to the edge.
The volume of cone:
A cone is a 3D geometric shape which has a circular base and a single vertex (apex) that is connected to the centre of the base by a curved surface. Cones are typical in everyday objects like ice cream cones, party hats, and traffic cones.
Volume (V) = (1/3) x π x r^2 x h
Where V denotes the volume of the cone, π is a mathematical constant equal to 3.14, and "r" is the radius of the circular base of the cone. It is the distance from the centre of the base to the edge, and h is the Height of the cone, which is the distance from the apex (top point) to the base.
The volume of Cube:
A cube is a 3D shape that has six equal square faces, all of which are at right angles to each other. In a cube, all edges are of equal Length, and all angles between adjacent faces are right angles. It's a regular polyhedron and a specific type of rectangular prism. To calculate the volume of a cube, the following formula can be used:
Volume (V) = Side Length (a)³
Where V is the volume of the cube and "a" is the Length of one side of the cube.
The volume of the cylinder:
A cylinder is also a 3D geometric shape with two parallel circular bases of the same size and shape. These bases are connected by a curved surface, which is perpendicular to the bases. Cylinders come in various sizes and proportions.
Volume (V) = πr²h
Where V is the volume of the cylinder, "r" is the radius of the circular base of the cylinder. It's the distance from the centre of the base to the edge, and "h" is the Height of the cylinder, which is the perpendicular distance between the two circular bases.
The volume of the capsule:
In geometry, a capsule is a three-dimensional geometric shape that consists of two parallel circles (the ends) connected by a curved surface (the side). It is similar to a cylinder, but the ends of a capsule can have different radii.
The volume of the square pyramid:
A square pyramid is a three-dimensional geometric shape with a square base and triangular faces that converge at a single point called the apex or vertex. The base of the pyramid is a square, and each triangular face is an equilateral triangle. The Height of the pyramid is the perpendicular distance from the base to the apex.
Volume of rectangular Tank:
A rectangular tank is a three-dimensional container with a rectangular or square base and straight, vertical sides. It is used to store liquids, gases, or other substances. The volume of a rectangular tank can be calculated using the formula:
Volume = Length x Width x Height
Where Length is the measurement of the tank from one end to the other, typically the longest side, Width is the measurement of the tank from side to side, perpendicular to the Length, and Height is the measurement of the tank from the base to the top.
The volume of conical frustum:
A conical frustum, often referred to as a frustum, is a three-dimensional geometric shape that is created when you cut a cone with a plane parallel to its base. It has two parallel circular bases and a curved surface connecting them. The Height of the frustum is the perpendicular distance between the two bases.