To find the volume of a sphere, we use the formula:
V = (4/3)πr³
where V is the volume and r is the radius of the sphere. Since the diameter of the sphere is given as 10 inches, we can calculate the radius by dividing the diameter by 2:
r = diameter / 2 = 10 in / 2 = 5 in
Now we can substitute the radius back into the volume formula:
V = (4/3)π(5 in)³
Calculating the radius cubed:
(5 in)³ = 125 in³
Now, substitute this value back into the formula:
V = (4/3)π(125 in³)
To calculate the volume, we can multiply:
V ≈ (4/3) × 3.14159 × 125 in³ ≈ 523.6 in³
Therefore, the volume of the sphere is approximately 523.6 cubic inches.