If V=113 meters cubed, find the radius.

I assume this refers to a sphere, in which case volume = (4/3)*pi*radius³

so 113 = (4/3)*pi*radius³

 

Multiply both sides by 3/(4*pi)

3*113/(4*pi) = radius³

 

Take the cube root of both sides

radius = (339/(4*pi))^1/3  m

$${\mathtt{radius}} = {\left({\frac{{\mathtt{339}}}{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{\pi}}\right)}}\right)}^{\left({\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right)} \Rightarrow {\mathtt{radius}} = {\mathtt{2.999\: \!139\: \!117\: \!950\: \!116\: \!3}}$$

radius ≈ 3m