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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.)
A
102in3

B
255in3

C
500in3

D
2000in3

Respuesta :

arokoyuola

Answer:

C

Step-by-step explanation:

Volume = πr²h

r = 2.5 inches plus 1inch cushon thickness = 3.5 inch radius.

V = 3.142*3.5²*13

V = 500.56in³

The volume of the cylinder use to package each bottle is 500 inches³.

Volume of a cylinder

  • volume = πr²h

where

r = radius

h = height

Therefore,

height of the cylinder  = 13 inches

radius = 2.5  + 1 = 3.5 inches

Therefore,

  • v = 3.14 × 3.5² × 13

Therefore,

volume = 3.14 × 12.25 × 13

volume = 500.045

volume of the packaging cylinder = 500.045 inches³

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