5. BRUNO HAS A 22-FOOT LENGTH OF WIRE. SHE CUTS
THE WIRE INTO 7 PIECES OF EQUAL LENGTH. THE LENGTH
OF EACH PIECE OF WIRE WILL FALL BETWEEN WHAT TWO
WHOLE-NUMBER LENGTHS?

Draw a diagram to illustrate the problem as shown below.

Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³

Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³

The volume that can be filled with flavored ice is 
V = V₁ - V₂ = 115.5π in³ = 362.85 in³

Th volume is 115.5π in³ or 362.9 in³ (nearest tenth)