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