Baseballs and softballs com in different sizes for different leagues. If the diameter of a baseball is 3 inches and a softball is 3.8 inches, find the difference between the volumes of the two balls. Use 3.14 for pie
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Answer:
Step-by-step explanation:
Alright, lets get started.
Diameter of baseball is given as 3 inches.
Hence the radius of baseball will be : [tex]\frac{3}{2}=1.5[/tex]
Hence the volume of baseball is : [tex]\frac{4}{3}\pir^3[/tex]
Hence the volume of baseball is : [tex]\frac{4}{3}\pi1.5^3[/tex]
Hence the volume of baseball is : 14.13 inches cube
Now, diameter of softball is given as 3.8 inches.
Hence the radius of softball will be : [tex]\frac{3.8}{2}=1.9[/tex]
Hence the volume of baseball is : [tex]\frac{4}{3}\pir^3[/tex]
Hence the volume of baseball is : [tex]\frac{4}{3}\pi1.9^3[/tex]
Hence the volume of baseball is : 28.72 inches cube
Hence the difference of volumes will be: [tex]28.72-14.13[/tex]
Hence the difference of volumes will be 14.59 or 14.6 inches cube
So the answer is 14.6 inches cube. : Answer
Hope it will help :)