Question

A party company is designing a new line of individualized bubbles for various celebrations such as birthday parties, weddings, and anniversaries. The bubbles will be sold in various-sized packs. The individual container of bubbles will be a plastic cylindrical tube with a diameter 2 cm and a height of 8 cm.

How many square centimeters of plastic are needed for one tube of bubbles?
Round your answer to the nearest whole number.

A. 50 cm^2
B. 57 cm^2
C. 63 cm^2
D. 53 cm^2

Answer 1

The formula for the surface area of a cylinder is:

SA = 2πr^2 + 2πrh

where r is the radius and h is the height.

Since the diameter of the tube is 2 cm, the radius is 1 cm.

Substituting the given values, we get:

SA = 2π(1^2) + 2π(1)(8)

SA = 2π + 16π

SA = 18π

To find the surface area in square centimeters, we need to multiply by the conversion factor (1 cm)^2/(1 π) = 1 cm^2/3.14.

SA = 18π × (1 cm^2/3.14)

SA ≈ 18 × 0.3185

SA ≈ 5.73 cm^2

Rounding to the nearest whole number, we get:

SA ≈ 6 cm^2

Therefore, the answer is B. 57 cm^2.

Explanation: