The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula [tex]V= \frac{4}{3} \pi r^{3} [/tex], where r represents the radius of the figure.
In this exercise is given that a sphere has a radius of 4.7 inches and it is asked to find its volume. The first step in order to find the volume of the sphere would be substitute the value into the previous mention formula.
[tex]V= \frac{4}{3} \pi r^{3} [/tex]
[tex]V= \frac{4}{3} \pi (4.7 in)^{3} [/tex]
[tex]V= \frac{4}{3} \pi (103.823in^{3})[/tex]
[tex]V=138.43in^{3} ( \pi )[/tex]
[tex]V=434.9 in^{3} [/tex]
The volume of the basketball is 434.89 cubic inches.
