Solution
- The Solution steps are given below:
[tex]\begin{gathered} \text{ Volume of Cube} \\ V=l^3 \\ where, \\ l=length\text{ of a side} \\ l^3=512 \\ l=\sqrt[3]{513} \\ l=8 \\ \\ \\ \\ \text{ Volume of Sphere:} \\ V=\frac{4}{3}\pi r^3 \\ where, \\ r=radius \\ V=\frac{4}{3}\times\pi\times(\frac{1.5}{2})^3 \\ \\ V=1.76625\approx1.8cm^3\text{ \lparen To the nearest tenth\rparen} \end{gathered}[/tex]Final Answer
The answers are:
1. length of cube is 8 inches
2. Volume of the sphere is 1.8 cubic centimeters (To the nearest tenth)
