Question

Bubble wrap sells in sheets, and each sheet has 1 million individual spherical bubbles, each with a diameter of 0.01 m. What is the total volume of air contained in the bubbles of one sheet of bubble wrap? Round to the nearest tenth.

Answer 1

Answer: The total volume of air contained in the bubbles of one sheet of bubble wrap is about 0.5 cubic meters.

Explanation:

Volume of sphere :-

`V=(4)/(3)\pi r^3`, where r is the radius of the sphere.

Given : Diameter of the bubble = 0.01 m

Then Radius of the bubble =
`(0.01)/(2)=0.005\ m`

Volume of each bubble:-

`V=(4)/(3)(3.14) (0.005)^3`

Also, Number of bubbles in each sheet = 1,000,000

Then , the total volume of air contained in the bubbles of one sheet of bubble wrap will be :-

`(4)/(3)(3.14) (0.005)^3*1,000,000=0.52333333\approx0.5\ \text{cubic meters}`

Hence, the total volume of air contained in the bubbles of one sheet of bubble wrap is about 0.5 cubic meters.