Question

The diameter of a ball is 8 in.

What is the volume of the ball?


Use 3. 14 for pi

Answer 1

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.