Part A
The diameter of the spherical core of the baseball measures approximately 1.31 inches.
What is the volume of the core of the baseball? Round to the nearest hundredth.

To find the volume of the spherical core of the baseball, you can use the formula for the volume of a sphere:

First, we need to find the radius, which is half of the diameter. Thus, the radius ® is:

Now plug this value into the volume formula:

Calculating :

Now, substituting back into the volume formula:

So rounding to the nearest hundredth, the volume of the core of the baseball is approximately:

But wait! The fun doesn’t stop here.

Did you know that the modern baseball has its origins dating back to the mid-19th century, when it became popular in the U.S.? The rules for baseball were standardized, and the construction of the ball evolved to include a cork or rubber core wrapped in yarn and leather, giving it the modern look we recognize today.

In the real world, understanding the volume of a baseball core can be important for materials scientists and manufacturers. This knowledge helps them assess the ball’s performance, weight distribution, and even aerodynamics—vital factors in making a baseball that performs excellently in the game, ensuring that home runs and strikeouts alike rely on perfect construction!