Answer:
Cylinder container (right)
Step-by-step explanation:
- Volume of a cone = (1/3)[tex]\pi[/tex]r²h
- Volume of a cylinder = [tex]\pi[/tex]r²h
- Radius = (1/2) diameter
- [tex]\pi[/tex] ≈ 3.14
Left (cone) container
r = 12 ÷ 2 = 6 cm
h = 19 cm
⇒ Volume = (1/3) x 3.14 x 6² x 19 = 715.92 cm³
Cost $6.75
Cost per cm³ = 6.75 ÷ 715.92 = $0.009428...
Right (cylinder) container
r = 8 ÷ 2 = 4 cm
h = 15 cm
⇒ Volume = 3.14 x 4² x 15 = 753.6 cm³
Cost $6.25
Cost per cm³ = 6.25 ÷ 753.6 = $0.008293...
Therefore the right (cylinder) container is better value as it costs less per cm³
