Question

Can someone please help me

Answer 1

Answer:

  511.8 cubic inches

Step-by-step explanation:

The volume of a sphere is given by ...

  V = (4/3)πr³ = (4/3)π(d/2)³ = (π/6)d³ . . . . where d is the diameter

Assuming the dimension of the cube-shaped box is d, the diameter of the ball, the volume of the box will be d³. So, we have ...

  85.3π = (π/6)d³

  (85.3π)(6/π) = d³ . . . . . the volume of the box

  (85.3)(6) = d³ = 511.8 . . . . cubic inches

The volume of the smallest box is 511.8 cubic inches.