What is the volume of the largest sphere that you could carve out of a wooden block whose edges measure 8m by 8m by 8m? Use the Pi and round to the nearest tenth.
In a cube of length side 8 m, the larger diameter of a sphere is 8 m
so
the radius is
r=8/2=4 m
the volume of the sphere is
[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]substitute the given values
[tex]\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot4^3 \\ V=85.33\pi \end{gathered}[/tex]use pi=3.14
V=85.33(3.14)=267.9 m3
