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=(4)/(3)\pi((8)/(2)m)^{3^{}} \\ =268.0826m^3 \\ \approx261m^3 \end{gathered}`

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