To calculate the volume of a sphere, we can use the formula:
- Volume (V) = (4/3) × π × r³
Where:
- V = volume of the sphere
- π = pi (approximately 3.14159)
- r = radius of the sphere
In this case, the radius (r) of the sphere is 6 centimeters. Plugging this value into the formula, we get:
- V = (4/3) × π × (6 cm)³
First, we calculate the cube of the radius:
- (6 cm)³ = 6 × 6 × 6 = 216 cm³
Now substitute this value back into the volume formula:
- V = (4/3) × π × 216 cm³
Next, we will calculate (4/3) × 216:
- (4/3) × 216 = 288 cm³
Finally, we multiply by π:
- V ≈ 288 cm³ × 3.14159 ≈ 904.32 cm³
Therefore, the volume of a sphere with a radius of 6 centimeters is approximately 904.32 cubic centimeters.