HELP 60 MIN LEFT 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

The volume of the cylinder used to package the bottles is 500.

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.

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 ≈ 500

Thus the volume = 500 .

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic