Question

The volume of a cube is 512 cubic inches. What is the side length of the cube?inchesQuestion 31 ptsA spherical paintball measures 1.5 centimeters in diameter.Approximately how much paint is in it? (Use 3.14 for pi and round your answer to the nearest tenth

Answer 1

- The Solution steps are given below:

`\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=(4)/(3)\pi r^3 \\ where, \\ r=radius \\ V=(4)/(3)*\pi*((1.5)/(2))^3 \\ \\ V=1.76625\approx1.8cm^3\text{ \lparen To the nearest tenth\rparen} \end{gathered}`

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)