The volume of a sphere can be calculated using the formula:
V = (4/3) × π × r³
where V is the volume and r is the radius of the sphere.
Given that the radius r is 3 inches, we can plug this value into the formula:
V = (4/3) × π × (3)³
Calculating the radius cubed:
(3)³ = 27
Now substituting that back into the volume formula:
V = (4/3) × π × 27
Next, we can calculate:
V = 36π
Now, if we use 3.14 as an approximate value for π:
V ≈ 36 × 3.14 ≈ 113.04
Therefore, the approximate volume of the sphere with a radius of 3 inches is about 113.04 cubic inches.