Calculate instantly online! Your math assistant for calculating the volume of a sphere easily.
Sphere volume calculator
Volume:
0.00
Do you want to see other calculation tools?
The following online calculator is a tool to calculate the volume of a sphere, based on the radius of the sphere. The application calculates the volume of the sphere using the formula Volume = (4/3) × π × radius³. This allows calculating the volume of any sphere, whether small or large.
Additionally, as an option, the sphere volume calculator also allows calculating its capacity from the diameter and its circumference.
How does the sphere volume calculator work?
To calculate the volume of the sphere, follow these steps:
- Enter the value of the radius (r):
- Enter the radius of the sphere in the indicated field and select the dimension unit if necessary. Optionally, you can use the diameter and circumference to calculate the interior space of the sphere.
- Calculate the volume of the sphere:
- The calculator will automatically perform the calculation and display the volume of the sphere according to the selected unit.
We remind you that the formulas to calculate spherical volume vary depending on the distance to be used:
- To calculate the volume of a sphere with the radius, the formula is: Volume = (4/3) × π × radius³
- To calculate the volume of a sphere with the diameter, the formula is: Volume = (4/3) × π × (diameter/2)³
- To calculate the volume of a sphere with the circumference, the formula is: Volume = Circumference³ / (6 x (π²))
🟧 Note: The formula to calculate the volume of a sphere is universal, and remember that Pi number = π is approximately 3.1416
Example of calculating the volume of a sphere:
- If we have a sphere with a radius of 5 cm, we would apply the following calculation: Volume = (4/3) × π × (5 cm)³ ≈ 523.6 cm³.
- If we know the diameter of a sphere, for example, 10 cm, first we divide the diameter by 2 to obtain the radius (5 cm). We apply the formula to calculate the volume and obtain the same result of 523.6 cm³.
What units can you use in the calculator to calculate the volume of a sphere?
The calculator to obtain the capacity of a sphere allows entering values in the following units:
- Millimeters (mm)
- Centimeters (cm)
- Meters (m)
- Kilometers (km)
- Inches (in)
- Feet (ft)
- Yards (yd)
- Miles (mi)
You can calculate the volume for any sphere, as long as the input values are positive. Additionally, you can change the input and output units to adapt them to the metric or imperial system.
🟧 Note: If you have any questions about the online application to calculate the volume of spheres, feel free to contact us from the contact section in the footer.
Frequently asked questions about the volume of a sphere – FAQ
What is the volume of a sphere?
The volume of a sphere is the amount of space occupied by a perfectly round three-dimensional object. It is measured in cubic units and is calculated using the formula Volume = (4/3) × π × radius³.
What is the formula to calculate the volume of a sphere?
The formula to calculate the volume of a sphere is: Volume = (4/3) × π × radius³, where π (pi) ≈ 3.1416 and the radius is the distance from the center of the sphere to its surface.
What units are used to measure the volume of a sphere?
The interior space of a sphere is measured in cubic units, using as an example cubic millimeters (mm³), cubic centimeters (cm³), cubic meters (m³), cubic inches (in³), etc.
How is the volume of a sphere calculated if I only have the diameter?
If you have the diameter of the sphere, first divide the diameter by 2 to obtain the radius. Then, use the formula for spherical volume = (4/3) × π × radius³.
How does the size of the radius affect the volume of the sphere?
The volume of a sphere increases exponentially with the radius, as the radius is raised to the power of three in the formula. For example, doubling the radius increases the volume by a factor of 8.
What happens if the sphere is hollow?
If the sphere is hollow (i.e., has an internal void), calculate the external volume and subtract the internal volume using the mathematical calculations of Hollow Volume = External Volume – Internal Volume.
What is the purpose of knowing how to calculate the volume of a sphere?
Calculating the volume of a sphere is useful in different fields such as engineering (volume of spherical tanks), astronomy (volume of planets and stars), container design (balls, containers), physics, mathematics, etc.
What is the difference between the volume of a sphere and its surface area?
The volume measures the amount of three-dimensional space inside the sphere, while the surface area measures the two-dimensional space, in 2D, that covers the sphere. The formula for the surface area of a sphere is: Area = 4 × π × radius².
What is the difference between a perfect sphere and other rounded shapes?
A perfect sphere has all surfaces equidistant from its center. Other rounded shapes, such as ellipsoids or spheroids, have unequal dimensions, and the standard formula cannot be used to calculate their volume.
Can I calculate the volume of a sphere if I only know its surface area?
Directly no. The surface area and volume are different properties of a sphere, and one cannot be calculated from the other without knowing some other measure, such as the radius.
What value of π (pi) should I use to calculate the volume of a sphere?
Normally for general calculations, π ≈ 3.1416 is used, and for greater precision π ≈ 3.14159265. Some online scientific calculators allow using π with more decimals automatically.
What if the sphere is not completely solid?
If the sphere has voids or non-solid spaces, the volume of those spaces should be subtracted from the total using precise measurements.
