Answer:
30 mm
Step-by-step explanation:
Given,
Surface Area of ball =[tex]3600\pi\ mm^2[/tex]
We have to find out the radius of the ball.
Solution,
Since the formula of Surface area is 4 times π times square of the radius.
We can frame it as;
[tex]S.A.=4\times\pi\times r^2[/tex]
Now on substituting the values, we get;
[tex]4\times\pi\times r^2=3600\pi[/tex]
On dividing both side by 'π' using division property, we get;
[tex]\frac{4\times\pi\times r^2}{\pi}=\frac{3600\pi}{\pi}\\\\4\times r^2=3600[/tex]
On dividing both side by '4' using division property, we get;
[tex]\frac{4\times r^2}{4}=\frac{3600}{4}\\\\r^2=900[/tex]
Now taking square root on both side, we get;
[tex]\sqrt{r^2} =\sqrt{900}\\ \\r=30\ mm[/tex]
Hence The radius of the ball is 30 mm.
