Answer:
Volume = 267.9 in.^3
Explanation:
The formula for the volume of a sphere is given by:
V = 4/3πr^3, where
- V is the volume in units cubed (i.e., units^3),
- and r is the radius of the sphere.
Step 1: Find the radius:
- The diameter, d, is simply twice the radius.
Thus, we can find the radius by dividing the diameter by 2:
d = 2r
d/2 = r
8/2 = r
4 = r
Thus, the radius is 4 in.
Step 2: Plug in values to find the volume:
Now we can plug in 4 for r and 3.14 for π in the volume formula to find V, the volume of ball in in.^3:
V = 4/3(3.14)(4)^3
V = 4/3(3.14)(64)
V = (314/75)(64)
V = 267.9466667
V = 267.9
Thus, the volume of the ball is about 267.9 in.^3.