Answer:
The percent uncertainty in the volume

Step-by-step explanation:
From the question we are told that
The radius is

From the given value
The uncertainty of radius is

Generally the volume of a spherical beach ball is mathematically represented as

Now taking the log of both sides
![log V = log [(4\pi)/(3) ] * r^3](https://img.qammunity.org/2021/formulas/physics/college/exi75we73cpt0l0t502895wttc5t3uiuqq.png)
=>
![log V = log [(4\pi)/(3) ] + log( r^3)](https://img.qammunity.org/2021/formulas/physics/college/z849vonxsgepd1vteqlbx09ia4ey46oret.png)
=>
![log V = log [(4\pi)/(3) ] + 3log( r)](https://img.qammunity.org/2021/formulas/physics/college/or626ixt16a2dwfkuhw53gp6ayutmt3vey.png)
Differentiating both sides
![(1)/(V) \delta V = 0 + 3 [(1)/(r) ] \ \delta r](https://img.qammunity.org/2021/formulas/physics/college/tyf0as2cvwwfz37kr1qau83moh3dxqopqf.png)
Now converting them to percentage by multiplying by 100
![(\delta V)/(V) * 100 = [( 3 \delta r )/(r) ] \ * 100](https://img.qammunity.org/2021/formulas/physics/college/zl4drsodrzi8pyrua77hhlckqoeeqcxu12.png)
=>
![(\delta V)/(V) * 100 = [( 3 * 0.04 )/( 0.84) ] \ * 100](https://img.qammunity.org/2021/formulas/physics/college/klyu33fwyhefbwgj7cph0edlehtntu8e2n.png)
=>
