Hello!
I am assuming we want to find r. To do so we just find the cube root of 41.77, which is about 3.47.
Therefore, r is about 3.47.
I hope this helps!
[tex] \dfrac{4}{3}\pi r^3=175\ \ \ |\cdot3\\\\4\pi r^3=525\ \ \ \ |:4\pi\\\\r^3=\dfrac{525}{4\pi}\to r=\sqrt[3]{\dfrac{525}{4\pi}}\to r\approx3.47 [/tex]
