Volume Calculator
The following is a list of volume calculators for several common shapes. Please fill in the corresponding fields, select your units, and click the “Calculate” button to see a step-by-step solution
Smart Volume Calculator
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Online 3D Shape Volume Calculator – Free Geometry Calculator Suite
If you’ve ever wondered how to calculate the volume of different 3D shapes, you’re in the right place. Our Online Volume Calculator Suite helps you find the volume of spheres, cones, cubes, cylinders, rectangular tanks, ellipsoids, capsules, and more — instantly and accurately. This all-in-one tool is perfect for students, engineers, architects, and math enthusiasts who deal with 3D geometry, liquid capacity, or solid measurements.
What Is a Volume Calculator?
A Volume Calculator is an online tool that computes the space occupied by a 3D shape based on its geometric dimensions (radius, height, width, edge, etc.). It uses mathematical formulas to give you precise results in different units — meters, centimeters, millimeters, feet, inches, or kilometers.
Available Shape Calculators
🟣 Sphere Volume Calculator
Formula: V = (4/3) × π × r³
The sphere volume calculator helps you find the volume of any spherical object using its radius. It’s ideal for calculating the volume of balls, planets, domes, and circular tanks.
🔺 Cone Volume Calculator
Formula: V = (1/3) × π × r² × h
Use the cone volume calculator to find the volume of a cone using its base radius and height. Perfect for ice cream cones, funnels, and conical tanks.
🟦 Cube Volume Calculator
Formula: V = a³
The cube volume calculator determines the volume of cube-shaped objects. Use it for boxes, dice, or storage containers where all edges are equal.
🟠 Cylinder Volume Calculator
Formula: V = π × r² × h
This cylinder volume calculator computes the space inside cylindrical objects using the radius and height. Ideal for pipes, tanks, and drums.
🟩 Rectangular Tank Volume Calculator
Formula: V = l × w × h
Use the rectangular tank calculator to find the capacity of aquariums, pools, and boxes in your preferred unit.
💊 Capsule Volume Calculator
Formula: V = π × r² × ((4r/3) + h)
Calculate the volume of capsule-shaped objects such as medicine pills or storage tanks with rounded ends.
⚪ Spherical Cap Volume Calculator
Formula: V = (1/3) × π × h² × (3R − h)
Find the volume of a spherical cap — a portion of a sphere. Useful for domes, bowls, and spherical lenses.
🔻 Conical Frustum Volume Calculator
Formula: V = (1/3) × π × h × (R² + Rr + r²)
Used for truncated cones like buckets, lampshades, or frustum-shaped tanks.
🧢 Ellipsoid Volume Calculator
Formula: V = (4/3) × π × a × b × c
This calculator helps you find the volume of elliptical 3D shapes like eggs or planets using their three semi-axes.
🏗 Square Pyramid Volume Calculator
Formula: V = (1/3) × a² × h
Use the square pyramid calculator to determine the volume of pyramid-shaped objects used in architecture or geometry.
🔷 Tube (Hollow Cylinder) Volume Calculator
Formula: V = π × h × (R² − r²)
Perfect for pipes and hollow tubes. Enter the outer radius, inner radius, and height to get instant results.
📊 Quick Reference Table
| Shape | Formula | Typical Uses |
|---|---|---|
| Sphere | (4/3) × π × r³ | Balls, domes, planets |
| Cone | (1/3) × π × r² × h | Funnels, cones, tanks |
| Cube | a³ | Boxes, dice, containers |
| Cylinder | π × r² × h | Tanks, pipes, drums |
| Rectangular Tank | l × w × h | Aquariums, boxes, pools |
| Capsule | π × r² × ((4r/3) + h) | Pills, tanks, pressure vessels |
| Spherical Cap | (1/3) × π × h² × (3R − h) | Domes, bowls, lenses |
| Conical Frustum | (1/3) × π × h × (R² + Rr + r²) | Buckets, lampshades |
| Ellipsoid | (4/3) × π × a × b × c | Eggs, planets, ellipses |
| Square Pyramid | (1/3) × a² × h | Pyramids, architecture |
| Tube (Hollow Cylinder) | π × h × (R² − r²) | Pipes, tubes, casings |
Why Use Our Online Volume Calculator?
- Multiple shape support (sphere, cone, cube, tank, capsule, ellipsoid, etc.)
- Unit conversion support (meters, cm, mm, feet, inches)
- Instant accurate results
- Visual diagrams for better understanding
- Browser-friendly responsive interface
- You can access all calculators directly from a single interactive panel and compare different geometric volumes quickly. Each calculator includes formula references and real-world use cases, making it perfect for students, engineers, architects, and hobbyists.
How to Use the Volume Calculator
- Select the desired shape (Sphere, Cone, Cube, Cylinder, etc.)
- Enter the known values (radius, height, or length)
- Choose your preferred unit of measurement
- Click Calculate to get instant results
- Use Clear to reset inputs
FAQ – volume calculator
- 01) What is a volume calculator?
- A volume calculator is an online tool that helps you determine the space occupied by a 3D object. By entering a few measurements (like radius, height, or length), it instantly calculates the volume of various geometric shapes such as spheres, cones, cylinders, cubes, and tanks.
- 02) How do you calculate the volume of a sphere?
- The formula for the volume of a sphere is:
- V=4/3(πr^3)
- Where rr is the radius. Simply enter the sphere’s radius into our Sphere Volume Calculator, and it will give you the result instantly in cubic units.
- 03) What is the difference between a cube and a cuboid volume?
- A cube has all equal sides, so the formula is V=a^3
A cuboid (rectangular tank) has unequal sides, and its volume is V=l×w×hV = l × w × h.
Our calculator supports both — you just need to enter the respective dimensions.
- 04) Can I use this calculator for different units like inches or feet?
- ✅ Yes! The volume calculator supports multiple units including meters, centimeters, millimeters, feet, and inches. You can input values in any unit, and the output will automatically convert to cubic units of that same type.
- 05) How is cone volume different from cylinder volume?
- A cone occupies one-third the volume of a cylinder with the same base and height.
Formulas: - Cylinder: V=πr^2h
- Cone: V=1/3(πr^2h)
- You can use our Cone Volume Calculator and Cylinder Volume Calculator to compare them easily.
- 06) What is the formula for a rectangular tank or box volume?
- The Rectangular Tank Volume is calculated using the formula:
- V=l×w×hV = l × w × h
- Enter the length, width, and height, and the calculator will instantly display the tank capacity or container volume in cubic units or liters.
- 07) Can I calculate volume for irregular shapes?
- This calculator focuses on standard geometric solids (sphere, cube, cone, cylinder, etc.).
For irregular shapes, you can break them down into smaller known shapes or use liquid displacement methods. Future updates may include 3D irregular volume estimation.
- 08) How accurate are these volume calculators?
- All formulas are mathematically verified and precise. The only variation may occur from rounding or measurement unit conversion, but the results are highly reliable for educational, scientific, and engineering purposes.
- 09) What is a capsule or ellipsoid volume used for?
- Capsule volume is used in medical, industrial, and design contexts (e.g., pill shapes, pressure tanks).
- Ellipsoid volume applies to aerospace, biology, and 3D modeling, helping measure oval-shaped objects like planets or cells.
Our calculator includes both shapes with instant formula application.
- 10) Can this calculator be embedded in my website or blog?
- Yes! You can embed each volume calculator widget (Sphere, Cone, Cube, Cylinder, etc.) directly in your website using an HTML code block or Elementor HTML widget. It’s responsive, lightweight, and SEO-friendly, ideal for educational and engineering websites.
- 11) What is the difference between volume and surface area?
- Volume measures how much space a 3D object occupies (cubic units).
- Surface area measures the total outer area of that object (square units).
Our calculator focuses on volume, but you can combine it with surface area calculators for complete 3D geometry analysis.
- 12) Which shapes are included in this all-in-one volume calculator?
- Our complete 3D Volume Calculator suite includes:
- Sphere
- Cone
- Cube
- Cylinder
- Rectangular Tank
- Capsule
- Spherical Cap
- Conical Frustum
- Ellipsoid
- Square Pyramid
- Hollow Cylinder (Tube)
- Each calculator features a simple input layout, instant results, and accurate formula references.
- 13) How can I calculate liquid capacity in liters?
- To get volume in liters, just input dimensions in centimeters or meters. The calculator automatically converts the volume to liters (L).
Example: 1m3=1000L1 m^3 = 1000 L. So a tank volume of 2 m³ = 2000 liters.
- 14) Can this calculator be used on mobile devices?
- Absolutely ✅. The volume calculator is fully mobile responsive, meaning you can use it on your smartphone, tablet, or desktop with the same precision and fast results.
- 15) Is this calculator free to use?
- Yes! All volume calculators (Sphere, Cone, Cube, Cylinder, Tank, Pyramid, and more) are completely free, browser-based, and require no login or download. Just open, enter values, and calculate instantly
Conclusion
This All-in-One Volume Calculator Suite simplifies the process of finding the volume of any 3D shape. Whether it’s for academic use, engineering, design, or home improvement, this calculator provides precise, instant, and unit-flexible results. From simple cube and sphere shapes to complex ellipsoids and frustums, every tool in this suite is designed for accuracy and usability. Bookmark this page to calculate volumes anytime, anywhere — fast, free, and formula-verified.
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