Question

what is the volume of the largest sphere that you could carve out of a wooden block whose edges measure 8 m by 8 m by 8 m? Use the Pi and round to the nearest tenth

Answer 1

Given data:

The given cube .

The expression for the volume of the sphere is,

$\begin{gathered} V=\frac{4}{3}\pi(\frac{8}{2}m)^{3^{}} \\ =268.0826m^3 \\ \approx261m^3 \end{gathered}$

Thus, the volume of the sphere is 261 cubic-m.