Question

anyone know how to do it

Answer 1

Answer:

Surface area of cube = 6x²

surface area of cube = surface area of sphere

it means that 6x²=4πr²

x²=

$\frac{4\pi {r}^{2} }{6} = \frac{4 \pi9}{6} = \frac{4\pi3}{2} = 6\pi$

$x = \sqrt{6\pi}$

$\sqrt{6\pi} = \sqrt{k\pi}$

$6\pi = \pi \: k$

$k = 6$