Dr. Devanshi D. answered 09/03/19
ABIM Certified, Fellow, & researcher with a passion for tutoring
The smallest cube that can completely envelope a sphere will have have it's side equal to the diameter of the the sphere.
So, if radius of sphere =r, volume is 4/3*π* r3
Volume of cube is (2r)3
Therefore, percentage=100*( 4/3*π* r3)/(2r)3= 50π/3=52.38%