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 :-
[tex]V=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of the sphere.
Given : Diameter of the bubble = 0.01 m
Then Radius of the bubble = [tex]\dfrac{0.01}{2}=0.005\ m[/tex]
Volume of each bubble:-
[tex]V=\dfrac{4}{3}(3.14) (0.005)^3[/tex]
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 :-
[tex]\dfrac{4}{3}(3.14) (0.005)^3\times1,000,000=0.52333333\approx0.5\ \text{cubic meters} [/tex]
Hence, the total volume of air contained in the bubbles of one sheet of bubble wrap is about 0.5 cubic meters.
