Final answer:
To calculate the volume of a sphere, use the formula V = 4/3 π r³, substituting the radius for 'r'. If the radius is in inches, it should be converted to centimeters before calculation. Follow the order of operations when performing the calculation.
Step-by-step explanation:
To calculate the volume of a sphere, you would use the formula
V = 4/3 π r³, where 'V' represents the volume and 'r' is the radius of the sphere. If you have the diameter of the sphere, remember that the radius is half of the diameter. Let's go through the calculation step by step using an example where the radius of the sphere is 4.30 inches:
- First, convert the radius to centimeters if necessary since the conversion may be required. (1 inch = 2.54 cm).
- Calculate the radius in centimeters: 4.30 inches × 2.54 cm/inch = 10.922 cm.
- Substitute the radius into the volume formula: V = 4/3 π (10.922 cm)³.
- Calculate the volume by following the order of operations—first cube the radius, then multiply by π, and lastly multiply by the fraction 4/3.
- Round your answer to a reasonable number of decimal places if necessary.
Use this method to calculate the volume of any sphere given the radius or diameter.