To find the volume of a sphere, we use the formula:
V = (4/3) × π × r³
Where V is the volume and r is the radius of the sphere.
In this case, the radius r is given as 48 cm. Let’s substitute this value into the formula:
V = (4/3) × π × (48)³
First, we need to calculate (48)³:
(48)³ = 48 × 48 × 48 = 110592
Now we can substitute this back into the volume formula:
V = (4/3) × π × 110592
Next, we perform the multiplication:
V = (4 × 110592) / 3 × π
4 × 110592 = 442368
Now, dividing by 3:
V = 442368 / 3 × π
442368 / 3 = 147456
Thus, the volume of the sphere in terms of π is:
V = 147456π cm³
So, the final answer is 147456π cm³.