Find the surface area of the whole bottle, which is divided into four parts: the circular area of a small cylinder (there is a cover at the bottom, so don't look for it) and the side area.

; The circular area of a large cylinder (there is a cover at the top, which does not need to be calculated) and the side area.

Given that the circumference of the bottom of a large cylinder (the "vial" in the title) is 12.56cm, the diameter of the large cylinder can be calculated as 12.56÷3. 14=4cm, and the radius is 4÷2=2cm.

According to the formula: S=πr? So the area of the bottom circle of a big cylinder is: 2? ×3. 14= 12.56cm？

The side length of it (large cylinder) is: 12.56×4.5=56.52cm?

The bottom circumference of the small cylinder (bottle cap) is 3. 14cm smaller than that of the large cylinder.

∴ The circumference of the bottom surface of the small cylinder is12.56-3.14 = 9.42 cm, and the radius of the bottom surface is 9.42 ÷ 3.14 ÷ 2 =1.5 cm.

∴ The circular area of a small cylinder is: 1.5? ×3. 14=7.065cm？

The lateral area of a small cylinder is: 9.42×2 (its height) = 18.84cm?

The surface area of the whole bottle is:12.56+56.52+7.065+18.84 = 94.985cm? Because you want to keep two decimal places, the final answer is: 94.99cm?

Abbreviated as:

12.56 ÷ 3.14 ÷ 2 = 2cm.

2? ×3. 14+ 12.56×4.5 = 69.08cm？

12.56-3. 14 = 9.42 cm

9.42÷3. 14÷2 = 1.5 cm

1.5? ×3. 14+9.42×2=25.905cm？

69.08+25.905≈94.99cm？

The surface area of this vial is 94.99 cm? .

Hope to adopt.