We are given the formula as volume of a sphere as
[tex]V\text{ =}\frac{4}{3}\pi r^3[/tex]we are to find the radius r give the volume of sphere to be 435 cubic inches
Therefore
[tex]\begin{gathered} V=435in^3,\text{ } \\ r\text{ = ?} \\ \pi\text{ = 3.14} \end{gathered}[/tex]This gives
[tex]\begin{gathered} 435in^3\text{ =}\frac{4}{3}\times3.14\text{ }\times r^3 \\ 3\text{ }\times435in^{\text{ 3}}\text{ = 4 }\times3.14\text{ }\times r^3 \\ 1305in^3=12.56r^3 \\ \text{divide both side by 12.56} \\ \frac{1305in^3}{12.56}=r^3 \\ r^3=103.90in^3 \\ \text{take cube root of both sides} \\ r\text{ = }\sqrt[3]{103.90in^3} \\ r\text{ = 4.70 in} \end{gathered}[/tex]Therefore
The radius of the sphere is 4.7 inches
