A sphere is a perfectly spherical three-dimensional geometric object, with all points on the surface of the sphere equidistant from its center. Many frequently used objects, such as balls or globes, are spheres. If you want to calculate the volume of a sphere, you just need to find the radius and plug it into the simple equation, V = r³.
Step
Step 1. Write an equation to calculate the volume of a sphere
Here's the equation: V = r³. In this equation, "V" represents the volume and "r" represents the radius of the sphere.
Step 2. Find the fingers
If you already have the fingers, you can move on to the next step. If you have the diameter, just divide the diameter by two to get the radius. Once you know the fingers, write them down. For example, the radius we are working on is 1 cm.
If you are given only the surface area of a sphere, you can find the radius by finding the square root of the surface area divided by 4π. Thus, r = root (surface area/4π)
Step 3. Raise the three radii
To triple the radius, simply multiply the radius by itself three times, or raise the rank to the power of three. For example, 1 cm3 actually just 1 cm x 1 cm x 1 cm. Result of 1 cm3 is just 1, because 1 is multiplied by itself by any number of times, the result is 1. You will use the unit of measurement, cm, when you write down your final answer. Once you've done this, you can plug the radius to the power of three into the original equation to calculate the volume of a sphere, V = r³. Therefore, V = x 1
For example, if the radius is 2 cm, then to raise three radii, you would find 23, which is 2 x 2 x 2, or 8.
Step 4. Multiply the radius raised to the power of three by 4/3
Because now you have entered r3, or 1, into the equation, you can multiply this result by 4/3 to continue plugging it into the equation, V = r³. 4/3 x 1 = 4/3. Now, the equation will be V = x x 1, or V =.
Step 5. Multiply the equation by
This is the last step to find the volume of a sphere. You can leave without changing it, while writing the final answer in the form of V =. Alternatively, you can enter into your calculator and multiply the value by 4/3. The value of (approximately 3.14159) x 4/3 = 4.1887, which can be rounded to 4.19. Don't forget to write down your units of measurement and to write down the result in cubic units. The volume of a sphere with radius 1 is 4.19 cm3
Tips
- Don't forget to use cubic units (example: 31 cm³).
- If you only need the volume of a part of a sphere, such as a half or quarter sphere, find the total volume first, then multiply by the fraction you want to find. For example, to find the volume of a half sphere with a total volume of 8, you would multiply 8 by half or divide 8 by 2 to get 4.
- Note that the * symbol is used as a multiplication sign to avoid confusion with the variable "x".
- Make sure that all your measurements use the same units. If not, you have to change it.
