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.

Step-by-step explanation:

Volume of sphere :-

$V=\dfrac{4}{3}\pi r^3$, where r is the radius of the sphere.

Given : Diameter of the bubble = 0.01 m

Then Radius of the bubble = $\dfrac{0.01}{2}=0.005\ m$

Volume of each bubble:-

$V=\dfrac{4}{3}(3.14) (0.005)^3$

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 :-

$\dfrac{4}{3}(3.14) (0.005)^3\times1,000,000=0.52333333\approx0.5\ \text{cubic meters}$

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