Volume of sphere calculator This volume calculator lets you calculate the volume for several different solid shapes. Input the radius and get instant results for various applications in science and engineering. KylesCalculators. If we know a sphere's radius, we can then calculate the volume it occupies with the sphere volume formula: Oct 4, 2023 · This online calculator will calculate the various properties of a hemisphere given any 1 known variable. You will see three options: Step #1: Enter the value of Sphere Calculation Formula. The radius is the distance between the centre and any point on the surface of a sphere. Input the Measurements: Enter the radius of the sphere or the height and radius for a spherical How to Use a Sphere Calculator: Step-by-Step Guide. To find the volume of a sphere, use the formula 4/3 x π x (diameter / 2) 3, where (diameter / 2) is the radius of the sphere (d = 2 x r). , cubic meters m³ or cubic feet cu ft. In the above calculator, enter the radius value in the appropriate field. In order to calculate the volume of a sphere the only data needed is the radius, since the symbol π is Pi and is a constant equivalent to ~ 3. The formula to calculate the volume of a sphere is V = (4/3) * π * r³, where "V" is the volume and "r" is the radius of the sphere. r = Sphere radius; V = Sphere volume; π = Pi = 3. How do I calculate the volume of a sphere? The volume of a sphere is calculated using the formula: Volume = (4/3) × π × Radius³. Using our sphere volume calculator is easy! Simply enter the radius of the sphere in the box provided and our calculator will automatically give you the volume of the sphere. You can analyze any sphere in terms of its parameters by using this free sphere volume calculator. A hemisphere is half of a sphere. Consider that you need to determine the volume of a sphere that has a radius \(4cm\). Learn the formula, see examples and cite this online resource. 14159… ø = Sphere diameter; Diameter of Sphere. Here, let us assume the radius of R is 7, so multiply 4 / 3 by 22 / 7 × r³. The formula used to calculate sphere volume is: V = (4 / 3) · π · (ø / 2) 3. How It Calculates the Result. The calculator uses the following formulas to compute the volume, circumference, and area of a sphere: Volume of a sphere: V = ( 4/3 )πr 3; Circumference of a sphere: C = 2πr; Surface Area of a sphere: SA = 4πr 2; Hemisphere Calculations. Surface Area = 4 × π × r 2 Enter the radius, diameter, volume, or surface area of a sphere or hemisphere and get the other three values. Where: V is the volume of the sphere. Example for volume of sphere Calculation. We can use Calculator 1 to solve this problem. [ ] Step 2: Input the Radius Oct 4, 2023 · Calculator online on how to calculate volume of capsule, cone, conical frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, triangular prism and sphere. The general formula is: V = 4/3 πr^3. , balls, planets). 14159… Volume of Sphere. This distance is the sphere's radius. Here’s how to get started: Select the Shape: Choose whether you want to calculate the volume of a sphere, hemisphere, or spherical cap. The formula for finding the volume of a sphere is 4 / 3 π r³. The volume of a sphere is determined by the formula: V = (4/3)πr³. It depends on either the radius or the diameter of the sphere. Radius (r) = d/2. May 14, 2025 · What Is the Sphere Calculator? The Sphere Calculator is a simple yet powerful tool that helps you compute different properties of a sphere using just one known value. Formula for Sphere Volume. Area (A) = 4πr 2. What is a Sphere Volume Calculator? Definition: This calculator computes the volume and circumference of a sphere, a perfectly round three-dimensional object, based on its radius (\( r \)). π is the constant pi, approximately equal to 3. Solution: Given: Radius = 3 units. r is the radius of the sphere (the distance from the center to any point on the surface). Its value is expressed in cubic units of length, e. See the formulas, steps, and examples for calculating the volume and surface area of a sphere or hemisphere. Before we go into how to calculate volume, you must know the definition of volume. Enter the radius of a sphere and get its volume in different units. Enter the volume contained within a Our sphere volume calculator is a user-friendly tool designed to facilitate the quick computation of a sphere’s volume using a simple formula. Calculate the volume of a sphere by entering its radius. Use our free Sphere Calculator to instantly compute radius, surface area, volume, and circumference of a sphere. This is the volume contained within a sphere with How does this sphere calculator work? The algorithm of this sphere calculator requires only one dimension to be given and that can be the radius, diameter, area or the volume; while the formulas applied are explained below: Diagonal (d) = 2r. , a ball). Calculate the volume of a sphere, a spherical cap or a hemisphere with this online tool. Enter the diameter of a sphere. The volume of a sphere V is the space enclosed by a sphere, for example, the space that a substance (solid, liquid, or gas) can occupy. The Sphere Volume Calculator has many uses and benefits, some of which include: Education: The calculator can be used by students studying geometry, physics, or any other subject that requires the calculation of sphere volumes. How to Use the Sphere Volume Calculator. Just follow below steps to calculate sphere volume & circumference. The formula for calculating the volume of a sphere is: V = 4/3 * π * r³ where V is the volume and r is the radius of the sphere. 2. Volume of Sphere. Volume formulas. Here are some common applications of a Sphere Calculator in various domains: Geometry and Mathematics: Our sphere volume calculator is user-friendly and versatile, supporting calculations in cm³, m³, and liters—making it an invaluable resource for construction, architecture, and engineering projects. How to Use the Volume Calculator Jan 10, 2025 · How to Calculate the Volume of a Sphere? The volume of a sphere measures the total space it occupies in three-dimensional space. Sphere Volume Categories and Interpretation Volume of a Sphere Example 1. 599 cubed units. Whether you need to calculate the space inside a cube, cylinder, sphere, or pyramid, this tool provides accurate results with just a few inputs. Learn the formula and definition of a sphere and its volume. Hence, the volume would be given as. ø = Sphere diameter; V = Sphere volume; π = Pi = 3. g. First you have to enter the value of radius, then there is a tab down button where you have to enter the unit of the radius. Additionally, the calculator will generate a step-by-step solution on how the problem was solved. A Sphere Calculator, which helps calculate various properties of spheres, finds applications in a wide range of fields and industries. To get the volume of a sphere, you must first determine the radius of the sphere. Volume V and area A calculations are essentially for half of a sphere. 14159. Calculate the volume of a sphere using its radius or diameter in any metric system. The formula used to calculate the sphere radius is: r = ∛(¾ · V / π) Symbols. Feb 18, 2023 · A sphere is a three-dimensional object where every point on its surface is at the same distance from its center (e. The formula for the volume of a sphere is V = 4/3 * π * r^3, with V being the volume and r being the radius of the sphere. It also calculates the variables in terms of PI π. Solved Examples on Sphere Calculator. 14. This calculator and more easy to use calculators waiting at www. The diameter of a sphere is the length of a straight line drawn between two points on the surface of the sphere, where the Sphere Volume Calculation Formula. What is a Sphere Calculator? Definition: How is the volume of a sphere derived? A: The volume formula \( V = \frac{4}{3} \pi r^3 \) comes from calculus May 14, 2025 · What is the Volume Calculator? The Volume Calculator is an easy-to-use tool that helps you determine the volume of various 3D geometric shapes. The following is the calculation formula for the volume of sphere: Volume of a sphere. Use this online tool to find the volume of common shapes such as sphere, cone, cube, cylinder, and more. 14 × 3 2 = 4 × 3. Where: V = Volume of the sphere; r = Radius of the sphere; π(pi) ≈ 3. Sphere calculator is an online Geometry tool requires radius length of a sphere. Mar 10, 2025 · To calculate the volume of a sphere, use the formula v = ⁴⁄₃πr³, where r is the radius of the sphere. 1. Enter the radius, diameter, surface area or volume of a Sphere to find the other three. Sphere dimensions. Click the “Calculate” button to get the result. 14 × 9 = 113. Volume of Sphere given Diameter calculator uses Volume of Sphere = 4/3*pi*(Diameter of Sphere/2)^3 to calculate the Volume of Sphere, Volume of Sphere given Diameter formula is defined as the total quantity of three dimensional space enclosed by the surface of the Sphere, and calculated using the diameter of the Sphere. Q: Is water displacement a messy method to calculate sphere properties?. Formula for the Volume of a Sphere. Sphere. Using a Volume of a Sphere Calculator Step-by-Step Guide. 14159; If the The sphere calculator finds the radius, diameter, surface area and volume of a sphere. Free online calculators for area, volume and surface area. Symbols. Volume of sphere \(= \dfrac{4}{3}\times3. How to use Volume of a sphere calculator? Volume of a sphere calculator is simple & easy to use. Surface area to volume ratio is also known as surface to volume ratio and denoted as sa÷vol, where sa is the surface area and vol is the volume. To find the radius of a sphere given its volume, the user inputs the volume value into the calculator, and the tool calculates the radius of the sphere using the formula: It's important to note that the unit of measurement used for the radius will determine the unit of measurement used for the volume, and vice versa. Find the volume of the sphere below to 1 decimal place. The shapes currently supported are cones, cubes, cuboids (rectangular prisms), cylinders, and spheres. Different Categories of Sphere Calculations Sphere Calculator: Finding the sphere volume, circumference, radius, and surface area becomes quite easy with our online calculator. The formula used to calculate the sphere diameter is: ø = ∛(6 · V / π) Symbols. A sphere is a three-dimensional shape that is symmetrical and has no flat surfaces or corners. com Calculating the Volume of a Sphere: An online sphere calculator lets you to find the volume and curved surface area of any spherical object, given the radius of the object. The calculator can estimate the volume and surface area of a Calculate the volume of a sphere accurately with this easy-to-use sphere volume calculator. A hemisphere is 1/2 of a sphere cut in half by passing a plane through the center of the sphere. Oct 4, 2023 · Calculator online on how to calculate volume of capsule, cone, conical frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, triangular prism and sphere. Volume differs from the area, which is the amount of space taken up in a two-dimensional figure. The application calculates the volume of the sphere using the formula Volume = (4/3) × π × radius³. The volume of a cylinder is the product of the area of its circular base and its height. Calculator. The volume of a sphere = 4/3 ×π × r 3 = 4/ This tool will calculate the diameter of a sphere from the volume, and will convert different measurement units for volume and diameter. Enter the radius or the dimensions of the cap or hemisphere and get the result instantly. Perfect for students, teachers, and professionals working with spherical geometry. Enter the radius of a sphere. The volume calculator will calculate the volume of some of the most common three-dimensional solids. Formula for calculating sphere volume Calculating the volume of a sphere is an essential mathematical concept that finds application in various fields, such as physics, engineering, and geometry. 14159… r = Sphere radius; Radius of Sphere. The surface area of a sphere = 4πr 2 = 4 × 3. About this page: Sphere calculator How to find the volume of a sphere? The following online calculator is a tool to calculate the volume of a sphere, based on the radius of the sphere. Our calculator utilizes the following methods for sphere volume computation: Calculation using the sphere volume formula based on the radius; If we want to find the volume of a sphere, how do we do it? Look carefully. V = π · ø 3 / 6. Enter the volume contained within a sphere A sphere with a radius of 5 units has a volume of 523. Another way to write the equation is as 4/3 x π x radius 3. In a sphere, distance from the center is the radius of the ball (r). This article gives clear information regarding the simple formulas, step by step process to calculate the unknown measures of a sphere using the known details. Here’s how to use a volume of a sphere calculator, step by step: [ ] Step 1: Measure the Radius Enter the radius of the sphere in the input field provided. 7cm^3\) In the above process, the values have been inserted in the formula to determine the sphere. Volume of Sphere formula. This online calculator can find volume of a sphere by radius, and radius by volume of a sphere Radius of a sphere given its volume: r = ³√(3V / (4π)) Applications of Sphere Calculator in Various Fields. The formula used to calculate the volume of the sphere is: Volume (V) = (4/3) * π * r³ Apr 25, 2022 · Volume of Sphere Calculator Use. Sphere Volume Formula. The formula used is V = (4/3)πr³. Q: What is the formula to calculate the volume of a sphere? A: The formula is V = (4/3)πr³, where r is the radius of the sphere. 142 \times 4\) Volume of sphere \(= 16. The calculator will calculate the sphere’s volume as well as its circumference. In other words, it`s the total capacity or space that the sphere occupies. Example 1: Find the surface area and volume of a sphere if the radius is 3 units and verify it using the online sphere calculator. V = Sphere volume; π = Pi = 3. Aug 4, 2022 · The volume of a sphere V is the area enclosed by a sphere. Oct 4, 2023 · Calculate the volume, surface area and circumference of a sphere with any one known variable using this online tool. Using the Sphere Volume Calculator is straightforward and intuitive. Volume (V) = 4/3πr 3. . If you don't have the radius, you can find it by What is the volume of a sphere and how to calculate it? The volume of a sphere refers to the amount of space enclosed by its surface. The results table will show the radius you entered and the corresponding volume of the sphere. Many are available online for free, but ensure it’s trustworthy and accurate. You can also use the online calculator to automatically get the volume of the sphere . Circumference (C) = 2πr Uses and Benefits of Sphere Volume Calculator. Steps for Calculating the Volume of a Sphere An online sphere calculator is exclusively designed to calculate the radius, volume, surface area, and circumference of a sphere body with 100% precision. 04 square units. About Volume of Sphere Calculator (High Precision) The Volume of Sphere Calculator is used to help you find the volume of a sphere (Step by Step). The formula used to calculate sphere volume is: V = ⁴/₃ · π · r 3. Enter the corresponding dimensions and click the "Calculate" button to get the result. For most shapes, you have the option to choose what combination of inputs you want to provide. Our online calculator provides an easy way to determine the volume and surface area of a sphere. Ready to master the sphere calculator? Follow these steps to get accurate calculations without breaking a sweat: [ ] Step 1: Choose Your Calculator; Find a reliable sphere calculator. Whether you're working with radius, diameter, circumference, surface area, or volume, this calculator instantly provides accurate results along with visual aids and calculation steps. A simple formula can be used to calculate the volume Calculator that gives out the volume of a sphere with the given radius value. Calculate volume of geometric solids. The calculations are done "live": How to Calculate the Volume and Surface Area. For example, it can be the space that a substance (solids, liquids, or gases) can occupy. Purpose: Useful in geometry, physics, and engineering for determining the volume and circumference of spherical objects (e. The formula for the volume of a sphere is: \[ V = {4 \over 3} \pi r^3 \] If we substitute the values of the radius into this equation, we get: \[ V = {4 \over 3} \pi (8)^3 = {4 \over 3} \pi (512) = {2048 \over 3 Nov 24, 2024 · Example: Calculate the volume of a sphere with radius \( r = 5 \). home / calculators / sphere volume A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball. Enter the radius, volume, surface area or circumference and get the other values in terms of pi or units. This tool will calculate the radius of a sphere from the volume, and will convert different measurement units for volume and radius. Formula for the volume of a sphere. Simply enter the radius of your sphere and the calculator will quickly display the results. A volume of a sphere calculator ensures accuracy, saves time, and spares you from manual calculations—especially handy when you’re dealing with multiple spheres or need precise results. Formula. Sphere surface area & volume calculator uses radius length of a sphere, and calculates the surface area and volume of the sphere. Using this calculator, we will understand methods of how to find the surface area and volume of the sphere. Q: How accurate are the measurements taken with a tape measure? A: Tape measures provide moderate accuracy, but be careful with potential errors. Cylinder. jxjdwke lve updnw dwc rpujjjudx ehghy lowruc zdlc yfe puicsvc