Calculating the Volume of a Sphere
The formula to calculate the volume V of a sphere is:
V = (4/3) × π × r³
In this formula, r represents the radius of the sphere. For a sphere with a radius of 3 inches, we can substitute r with 3:
V = (4/3) × π × (3)³
Now, let’s work through the calculations step by step:
- Calculate the cube of the radius: (3)³ = 27
- Now plug this value back into the volume formula: V = (4/3) × π × 27
- Next, multiply: 4/3 × 27 = 36
- Now multiply by π (approximately 3.14): V ≈ 36 × 3.14 ≈ 113.04
Final Result
Thus, the volume of a sphere with a radius of 3 inches is approximately 113.04 cubic inches.