Question

A bottling company makes decorative bottles and ships them to their customers. Each bottle has a height of 13 inches and a radius of 2.5 inches. The manufacturer places each bottle in cylinder packaging and adds cushioning to the insides of the cylinder. The cushioning is an inch thick on each side of the bottle. If the height of the cylinder is the same as the height of the bottle, what is the volume of the cylinder used to package the bottles? (Round to the nearest whole number. Use π = 3.14.)

Answer 1

Answer: The volume of the cylinder used to package the bottles is 500.045 in³

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

• Bottle height (also packaging height): 13 inches

• Bottle radius: 2.5 inches

• Cushion thickness: 1 inch

So, we have to apply the formula: Volume = πr²h

Where the radius (r) is 2.5 + 1=3.5 (the radius of the bottle plus the thickness of the cushion), and the height is 13.

Mathematically speaking:

Volume =πr²h = 3.14 x 3.5² x13 =500.045 in³

The volume of the cylinder used to package the bottles is 500.045 in³

Feel free to ask for more if needed or if you did not understand something.