Question 9 Eight wooden spheres with radii of 3 inches are packed snuggly into a cube-shaped box 12 inches on one side. The remaining space is filled with packing beads. What is the volume occupied by the packing beads
Answer is 823.2 cu.in. Reason For the sphere We know V=4/3 TT r^3 Radius is 3 V=4/3 (3.14) 3^3 V= 4/3 (3.14) 27 V= 113.1 for each sphere 8 spheres x 113.1 = 904.8 cu.in.
For the cubed shaped box We know v= length x width x height V= 12 x 12 x 12 V = 1728 cu.in.
Now we take volume of box and subtract volume of spheres to get space filled by packing beads 1728 - 904.8 = 823.2 cu.in.
