Calculate the volume of any 3D shape with precision. Choose from sphere, cone, cube, cylinder, and more geometric shapes with instant results and step-by-step formulas.
Enter values and click calculate to see the volume
Sphere Formula:
V = (4/3) × π × r³
Choose the 3D shape you want to calculate from our comprehensive list of geometric forms.
Input the required dimensions like radius, height, length, or width in any unit you prefer.
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Volume is the measure of how much three-dimensional space an object occupies or how much a container can hold. It is expressed in cubic units such as cubic meters, cubic centimeters, cubic inches, or cubic feet. Understanding volume is essential for solving geometry problems, determining the capacity of tanks and containers, estimating materials in construction, mixing liquids in laboratories, or evaluating space requirements in everyday situations. Accurate volume measurements help avoid miscalculations and ensure that projects involving liquids, solids, or gases are completed effectively.
Volume calculations are used to estimate concrete, soil, gravel, and water capacity. Builders rely on these measurements to determine material quantities, structural spacing, and the amount of space inside rooms, foundations, and tanks.
Factories use volume measurements to design product molds, calculate material usage for mass production, develop packaging, and verify that containers meet specific capacity requirements.
Volume is essential in scientific experiments, chemistry equations, density calculations, and fluid measurements. Researchers use volume to analyze reactions, calculate displacement, and conduct accurate laboratory tests.
Everyday tasks like filling a pool, planting garden beds, organizing storage, or determining how much soil or mulch to buy all rely on accurate volume estimates to avoid overspending or running short on materials.
A cube has equal edges, making its volume easy to calculate when all sides are the same length. This shape appears often in storage, packaging, and construction materials.
Formula: V = a³
Cylinders are used in plumbing, tanks, pipes, and many industrial components. Calculating cylinder volume accurately is essential for determining water capacity, pipe flow, or material usage.
Formula: V = π × r² × h
Cones appear in funnels, towers, packaging, and many structural forms. Their volume depends on the radius of the base and height of the cone, giving you insight into how tapered shapes hold or contain material.
Formula: V = (1/3) × π × r² × h
Rectangular prisms are used in shipping boxes, rooms, tanks, and storage containers. Because opposite faces are equal, this shape is one of the most common for capacity estimation.
Formula: V = l × w × h
A capsule combines a cylinder with hemispherical ends, making it useful for fluid capacity in pipes, tanks, and pharmaceutical designs. This shape requires both cylindrical and spherical calculations.
Formula: V = π × r² × h + (4/3) × π × r³
Ellipsoids are used in astronomy, physics, and biological shapes. Because this shape stretches differently along three axes, it provides more complex but precise volume measurement.
Formula: V = (4/3) × π × a × b × c
Square pyramids appear in architecture, storage bins, and geometric studies. Their volume decreases toward the top, making them ideal for calculating tapered storage and construction shapes.
Formula: V = (1/3) × base² × h
A tube represents a hollow cylinder. Calculating tube volume is crucial when determining pipe capacity, fluid flow, insulation spacing, or construction materials.
Formula: V = π × h × (R² - r²)
This calculator supports many common and advanced 3D shapes including spheres, cubes, cones, cylinders, rectangular prisms, capsules, ellipsoids, square pyramids, and tubes. Each shape includes its own formula and diagram so you can easily understand how the volume is determined.
You can enter any length unit such as inches, feet, centimeters, meters, or millimeters. As long as all measurements use the same unit, the calculator will produce an accurate volume in cubic units of that same measurement system.
Yes. Shapes like cylinders, tubes, rectangular prisms, and capsules are commonly used to measure the capacity of tanks, pipes, and storage containers. Simply pick the closest matching shape and enter your measurements.
Absolutely. You can enter decimals, whole numbers, or large measurement values. The calculator processes all values precisely, making it useful for scientific, industrial, and construction-level calculations.
Choose the shape that most closely resembles your object’s structure. For example, use a cylinder for pipes or cans, a rectangular prism for boxes, a sphere for round objects, or a tube for hollow pipes. If your object is irregular, measure its closest geometric approximation.
Differences usually come from unit errors, rounding differences, using diameter instead of radius, or entering measurements out of order. Double-check that you are using consistent units and the correct formula for the selected shape.
Yes. After computing, the calculator displays the exact formula along with the substituted values. This helps you understand how the volume was calculated and makes it easy to verify or show your work for school or professional use.
Yes. Many users calculate volumes to estimate concrete, water, soil, gravel, fuel, or storage capacity. Knowing the exact volume helps avoid waste, manage costs, and ensure accurate material planning.
Yes. The tube option allows you to enter the inner and outer radii along with height. The tool then calculates the volume of the hollow space or the remaining material around it.
Definitely. Shapes like cylinders, capsules, and ellipsoids are common in physics, chemistry, biology, and mechanical engineering. The calculator helps quickly determine accurate volumes needed for lab measurements, density calculations, flow estimates, and experimental design.