## Algebra 1

$r\sqrt 2/\pi(r+2)$
volume of cylinder: $V = \pi*r^2*h$ volume of cube: $V=w*l*h$ $V_{cylinder} = \pi*r^2*h$ $V_{cylinder} = \pi*r^2*(2r+4)$ $V_{cube} = r\sqrt 2*r\sqrt 2*r\sqrt 2$ $V_{cube} = 2r^3\sqrt 2$ $V_{cube}/V_{cylinder} = 2r^3\sqrt 2/\pi*r^2*(2r+4)$ $V = 2r^3\sqrt 2/\pi*r^2*(2r+4)$ $V=2r\sqrt 2/\pi*(2r+4)$ $V=2r\sqrt 2/\pi*2(r+2)$ $V=r\sqrt 2/\pi(r+2)$