Answer:
The space that the package would occupy is 45[tex]\pi[/tex] cubic feet.
Step-by-step explanation:
The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.
Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
where: r is the radius and h is the height of the cylinder.
Given that; h = 5 feet and r = 3 feet.
The required volume = [tex]\pi[/tex] × [tex](3)^{2}[/tex] × 5
= [tex]\pi[/tex] × 9 × 5
= 45[tex]\pi[/tex] cubic feet
The space that the package would occupy is 45[tex]\pi[/tex] cubic feet.