To determine the volume of a sphere, you can use the formula:
V = (4/3) × π × r³
In this formula, V represents the volume, π (pi) is approximately 3.14159, and r is the radius of the sphere.
Since the diameter of the sphere is given as 10 inches, we can find the radius by dividing the diameter by 2:
r = diameter / 2 = 10 inches / 2 = 5 inches
Now that we have the radius, we can substitute it back into the volume formula:
V = (4/3) × π × (5 inches)³
Calculating the radius cubed:
(5 inches)³ = 5 × 5 × 5 = 125 cubic inches
Now plug this back into the volume formula:
V = (4/3) × π × 125 cubic inches
Next, multiply 125 by 4/3:
V = (500/3) × π
To get a numerical approximation, you can calculate:
V ≈ (500/3) × 3.14159 ≈ 523.6 cubic inches
Therefore, the volume of a sphere with a diameter of 10 inches is approximately 523.6 cubic inches.