# Volume of sphere calculator

# The steps to calculate the volume of a sphere:

- Measure the radius of the sphere. If you have the diameter, divide it by 2 to obtain the radius.
- Use the formula for the volume of a sphere:

**V = (4/3)πr^3**

where r is the radius of the sphere and π is a mathematical constant approximately equal to 3.14159.

**Substitute the value of the radius into the formula and evaluate the expression.**

Alternatively, you can use an online calculator or software to calculate the volume of a sphere by entering the value of the radius.

**For example, let’s say you have a sphere with a radius of 5 centimeters. Here’s how to calculate its volume:**

- Measure the radius of the sphere, which is 5 centimeters.
- Use the formula for the volume of a sphere:

**V = (4/3)πr^3 = (4/3)π(5 cm)^3**

- Substitute the value of the radius into the formula and evaluate the expression:

**V = (4/3)π(5 cm)^3 = (4/3)π(125 cm^3) = 523.6 cubic centimeters (cm^3)**

Therefore, the volume of the sphere with radius 5 centimeters is 523.6 cubic centimeters (cm^3), or approximately 523.6 milliliters (mL) when rounded to the nearest tenth.

### The step-by-step instructions for calculating the volume of a sphere:

- Measure the radius of the sphere. If you have the diameter, divide it by 2 to obtain the radius.
- Cube the radius of the sphere. This means multiplying the radius by itself twice, or raising it to the power of 3.
- Multiply the cube of the radius by the constant 4/3 and the value of pi (π). The formula for the volume of a sphere is:
**V = (4/3)πr^3**where V is the volume of the sphere, r is the radius of the sphere, and π is a mathematical constant approximately equal to 3.14159.

So, the formula tells us that the volume of a sphere is equal to 4/3 times pi times the radius cubed.

- Substitute the value of the radius into the formula and simplify the expression.
- Round the answer to the desired number of decimal places, if necessary.

Alternatively, you can use an online calculator or software to calculate the volume of a sphere by entering the value of the radius.

**For example, let’s say you have a sphere with a radius of 5 centimeters. Here are the step-by-step instructions for calculating its volume:**

- Measure the radius of the sphere, which is 5 centimeters.
- Cube the radius of the sphere: 5^3 = 125.
- Multiply the cube of the radius by the constant 4/3 and the value of pi (π):
V = (4/3)π(125)

V = (4/3) × 3.14159 × 125

V = 523.59833 cubic centimeters (rounded to 5 decimal places)

So, the volume of the sphere with radius 5 centimeters is approximately 523.59833 cubic centimeters.