Answer:
2916
Explanation:
Explaining the variable r in the sphere volume formula:
In the sphere volume formula (i.e., V = 4/3πr^3),
- r refers to the radius of the sphere.
Determining the radius:
- In the sphere, we're given the diameter, d.
Since the diameter (d) is twice the radius and it's 18 in. in this sphere , we can find the radius, r, by dividing the diameter by 2:
2r = d
r = d/2
r = 18/2
r = 9
Thus, the radius is 9 in.
Finding the volume:
Now we can find the approximate volume (V) of the sphere in in.^3 by substituting 9 for r and 3 for π:
V = 4/3(3)(9)^3
V = 4/3(3)(729)
V = 4(729)
V = 2916
Thus, the approximate volume of the sphere is 2916 in.^3.