Answer:
6.3 cubic inches
Explanation:
The ball is in the shape of a sphere.
[tex]\text{Volume of a sph}ere=\frac{4}{3}\pi r^3[/tex]
Youth Softball
Diameter = 3.5 in
Radius = 3.5/2 =1.75 in.
[tex]\text{Volume}=\frac{4}{3}\pi\times1.75^3[/tex]
Adult Softball
Diameter = 3.8 in
Radius = 3.8/2 =1.9 in.
[tex]\text{Volume}=\frac{4}{3}\pi\times1.9^3[/tex]
The difference in the volumes will be:
[tex]\begin{gathered} \frac{4}{3}\pi(1.9)^3-\frac{4}{3}\pi(1.75)^3 \\ =\frac{4}{3}\pi(1.9^3-1.75^3) \\ =6.28in^3 \end{gathered}[/tex]
Therefore, the best approximate for the difference between the volumes of the two softballs is 6.3 cubic inches.
