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.
Accepted Solution
A:
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 mThen 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 = 1,000,000Then , 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.