Answer
$1.17\;in.$.
Work Step by Step
The radius of the basketball is $r$.
The volume of the basketball is $V=434.67\;in.^3$
The given formula is
$r=\sqrt[3]{\frac{3V}{4\pi}}$
Substitute all values.
$r=\sqrt[3]{\frac{3(434.67\;in.^3)}{4\pi}}$
Use a calculator to simplify.
$r=4.7\;in.$
Let the radius of the tennis ball be $x$.
We have $x=\frac{r}{4}$.
Substitute the value of $r$.
$x=\frac{4.7\;in.}{4}$
Simplify.
$x=1.17\;in.$.
