The volume of the cylinder used to package the bottles is 500[tex]in^3[/tex].
Option: C.
Step-by-step explanation:
Bottles are decorated with using cylinder package and cushions with it.
The height of the bottle is 13 inches.
The radius of the bottle is 2.5 inches.
The thickness of the cushion is 1 inch.
The volume of the cylinder = π[tex]r^2 h[/tex].
The height of the bottle is same as the height of the cylinder. Then the height of the cylinder is 13 inches.
The cylinder comprises of both cushion and bottle. Then the diameter or radius of the cylinder is sum of the thickness of the cushion with the bottle's diameter or radius.
∴radius of the cyinder = radius of bottle +thivhess of cushion.
= 2.5+1.
=3.5 inches.
The volume of the cylinder = 3.14×3.5×3.5×13.
=500.3 [tex]in^3[/tex] ≈ 500
Thus the volume = 500 [tex]in^3[/tex].
