Volume of sphere calculator

Created with Sketch.

Volume of sphere calculator

The steps to calculate the volume of a sphere:

  1. Measure the radius of the sphere. If you have the diameter, divide it by 2 to obtain the radius.
  2. 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.

  1. 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:

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

V = (4/3)πr^3 = (4/3)π(5 cm)^3

  1. 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:

  1. Measure the radius of the sphere. If you have the diameter, divide it by 2 to obtain the radius.
  2. Cube the radius of the sphere. This means multiplying the radius by itself twice, or raising it to the power of 3.
  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.

  4. Substitute the value of the radius into the formula and simplify the expression.
  5. 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:

  1. Measure the radius of the sphere, which is 5 centimeters.
  2. Cube the radius of the sphere: 5^3 = 125.
  3. 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.