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.