The largest volume of a cube that can be enclosed in a sphere of diameter $2 c m$ is (in ${c m}^{3}$ )

Question

The largest volume of a cube that can be enclosed in a sphere of diameter 2cm is -in -cm-3-2sqrt 2pidfrac-8-3sqrt 3-1

Toppr Admin · Accepted Answer

The-xA0-largest cube that can be enclosed in a sphere will have its diagonal equal to the diameter of the sphere-

The largest volume of a cube that can be enclosed in a sphere of diameter $2 c m$ is (in ${c m}^{3}$ )
$2 \sqrt{2}$
$π$
$\frac{8}{3 \sqrt{3}}$
$1$