# What is the difference in volume between a baseball with a diameter of 1.75 in and a soccer ball with a diameter of 9.50 in?

##### 2 Answers

The difference in volume is approximately

#### Explanation:

You need to start with the formula of the volume for each. In addition, we will think of the balls as totally spherical. This is, of course, an approximation.

If a sphere has a radius of r, then the volume

The radius of the baseball is

The radius of the soccer ball is

(to ensure we use the same unit for both).

This gives the two volumes as:

- baseball:
#V=4/3pir^3= 4/3pi7^3/8^3=7^3/(3*2^7)pi# - soccer ball:
#V=4/3piR^3= 4/3pi38^3/8^3=38^3/(3*2^7)pi#

The difference in volume, then, is

As

this gives a difference roughly equal to

Difference in volume

#### Explanation:

Volume of a sphere

Diameter of baseball

radius

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Volume of a sphere

Diameter of soccer ball

radius

Difference in volume