The volume of the sphere is [tex]1022.65 \ in^3[/tex]
Explanation:
Given that the diameter of the toy ball is 12.5 inches
We need to determine the volume of the toy ball.
The radius of the toy ball is given by
[tex]r=\frac{d}{2}[/tex]
[tex]r=\frac{12.5}{2}[/tex]
[tex]r=6.25 \ in[/tex]
Thus, the radius of the toy ball is 6.25 in
The volume of the sphere can be determined using the formula,
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
Substituting the values, we get,
[tex]V=\frac{4}{3} \pi(6.25)^{3}[/tex]
Multiplying, we get,
[tex]V=\frac{976.5625 \pi}{3}[/tex]
Substituting [tex]\pi=3.14[/tex], we have,
[tex]V=\frac{976.5625 (3.14)}{3}[/tex]
Simplifying, we get,
[tex]V=1022.65 \ in^3[/tex]
Thus, the volume of the sphere is [tex]1022.65 \ in^3[/tex]
